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Finding the Fourth Proportional to 10,098.14, 15,174.99 and 5,421.60

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Solution

The fourth proportional to 10,098.14, 15,174.99 and 5,421.60 is: 8,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.14 : 15,174.99 = 5,421.60 : x
  2. Step 2: Convert to fraction form
    10,098.14/15,174.99 = 5,421.60/x
  3. Step 3: Cross multiply
    10,098.14x = 15,174.99 × 5,421.60
  4. Step 4: Simplify right side
    10,098.14x = 82,272,725.78
  5. Step 5: Solve for x
    x = 82,272,725.78/10,098.14
  6. Step 6: Final answer
    x = 8,147.32

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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.