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Finding the Fourth Proportional to 8,011.27, 11,959.04 and 7,651.81

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Solution

The fourth proportional to 8,011.27, 11,959.04 and 7,651.81 is: 11,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.27 : 11,959.04 = 7,651.81 : x
  2. Step 2: Convert to fraction form
    8,011.27/11,959.04 = 7,651.81/x
  3. Step 3: Cross multiply
    8,011.27x = 11,959.04 × 7,651.81
  4. Step 4: Simplify right side
    8,011.27x = 91,508,301.86
  5. Step 5: Solve for x
    x = 91,508,301.86/8,011.27
  6. Step 6: Final answer
    x = 11,422.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.