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Finding the Fourth Proportional to 10,284.71, 15,424.22 and 5,016.87

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Solution

The fourth proportional to 10,284.71, 15,424.22 and 5,016.87 is: 7,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.71 : 15,424.22 = 5,016.87 : x
  2. Step 2: Convert to fraction form
    10,284.71/15,424.22 = 5,016.87/x
  3. Step 3: Cross multiply
    10,284.71x = 15,424.22 × 5,016.87
  4. Step 4: Simplify right side
    10,284.71x = 77,381,319.13
  5. Step 5: Solve for x
    x = 77,381,319.13/10,284.71
  6. Step 6: Final answer
    x = 7,523.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.