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Finding the Fourth Proportional to 10,400.10, 15,600.15 and 3,474.60

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Solution

The fourth proportional to 10,400.10, 15,600.15 and 3,474.60 is: 5,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.10 : 15,600.15 = 3,474.60 : x
  2. Step 2: Convert to fraction form
    10,400.10/15,600.15 = 3,474.60/x
  3. Step 3: Cross multiply
    10,400.10x = 15,600.15 × 3,474.60
  4. Step 4: Simplify right side
    10,400.10x = 54,204,281.19
  5. Step 5: Solve for x
    x = 54,204,281.19/10,400.10
  6. Step 6: Final answer
    x = 5,211.90

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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.