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Finding the Fourth Proportional to 11,394.71, 15,729.50 and 6,919.91

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Solution

The fourth proportional to 11,394.71, 15,729.50 and 6,919.91 is: 9,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.71 : 15,729.50 = 6,919.91 : x
  2. Step 2: Convert to fraction form
    11,394.71/15,729.50 = 6,919.91/x
  3. Step 3: Cross multiply
    11,394.71x = 15,729.50 × 6,919.91
  4. Step 4: Simplify right side
    11,394.71x = 108,846,663.00
  5. Step 5: Solve for x
    x = 108,846,663.00/11,394.71
  6. Step 6: Final answer
    x = 9,552.38

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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.