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Finding the Fourth Proportional to 10,216.92, 15,331.14 and 5,022.84

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Solution

The fourth proportional to 10,216.92, 15,331.14 and 5,022.84 is: 7,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.92 : 15,331.14 = 5,022.84 : x
  2. Step 2: Convert to fraction form
    10,216.92/15,331.14 = 5,022.84/x
  3. Step 3: Cross multiply
    10,216.92x = 15,331.14 × 5,022.84
  4. Step 4: Simplify right side
    10,216.92x = 77,005,863.24
  5. Step 5: Solve for x
    x = 77,005,863.24/10,216.92
  6. Step 6: Final answer
    x = 7,537.09

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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.