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Finding the Fourth Proportional to 10,906,742.91, 15,051,978.62 and 6,011,953.97

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Solution

The fourth proportional to 10,906,742.91, 15,051,978.62 and 6,011,953.97 is: 8,296,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906,742.91 : 15,051,978.62 = 6,011,953.97 : x
  2. Step 2: Convert to fraction form
    10,906,742.91/15,051,978.62 = 6,011,953.97/x
  3. Step 3: Cross multiply
    10,906,742.91x = 15,051,978.62 × 6,011,953.97
  4. Step 4: Simplify right side
    10,906,742.91x = 90,491,802,515,544.45
  5. Step 5: Solve for x
    x = 90,491,802,515,544.45/10,906,742.91
  6. Step 6: Final answer
    x = 8,296,867.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.