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Finding the Fourth Proportional to 11,439.77, 15,781.28 and 7,663.77

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Solution

The fourth proportional to 11,439.77, 15,781.28 and 7,663.77 is: 10,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.77 : 15,781.28 = 7,663.77 : x
  2. Step 2: Convert to fraction form
    11,439.77/15,781.28 = 7,663.77/x
  3. Step 3: Cross multiply
    11,439.77x = 15,781.28 × 7,663.77
  4. Step 4: Simplify right side
    11,439.77x = 120,944,061.91
  5. Step 5: Solve for x
    x = 120,944,061.91/11,439.77
  6. Step 6: Final answer
    x = 10,572.25

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