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Finding the Fourth Proportional to 10,414.56, 15,626.08 and 5,488.54

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Solution

The fourth proportional to 10,414.56, 15,626.08 and 5,488.54 is: 8,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.56 : 15,626.08 = 5,488.54 : x
  2. Step 2: Convert to fraction form
    10,414.56/15,626.08 = 5,488.54/x
  3. Step 3: Cross multiply
    10,414.56x = 15,626.08 × 5,488.54
  4. Step 4: Simplify right side
    10,414.56x = 85,764,365.12
  5. Step 5: Solve for x
    x = 85,764,365.12/10,414.56
  6. Step 6: Final answer
    x = 8,235.04

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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.