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Finding the Fourth Proportional to 10,098.56, 15,149.16 and 3,526.64

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Solution

The fourth proportional to 10,098.56, 15,149.16 and 3,526.64 is: 5,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.56 : 15,149.16 = 3,526.64 : x
  2. Step 2: Convert to fraction form
    10,098.56/15,149.16 = 3,526.64/x
  3. Step 3: Cross multiply
    10,098.56x = 15,149.16 × 3,526.64
  4. Step 4: Simplify right side
    10,098.56x = 53,425,633.62
  5. Step 5: Solve for x
    x = 53,425,633.62/10,098.56
  6. Step 6: Final answer
    x = 5,290.42

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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.