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Finding the Fourth Proportional to 10,538.90, 15,804.96 and 5,861.14

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Solution

The fourth proportional to 10,538.90, 15,804.96 and 5,861.14 is: 8,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.90 : 15,804.96 = 5,861.14 : x
  2. Step 2: Convert to fraction form
    10,538.90/15,804.96 = 5,861.14/x
  3. Step 3: Cross multiply
    10,538.90x = 15,804.96 × 5,861.14
  4. Step 4: Simplify right side
    10,538.90x = 92,635,083.25
  5. Step 5: Solve for x
    x = 92,635,083.25/10,538.90
  6. Step 6: Final answer
    x = 8,789.82

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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.