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Finding the Fourth Proportional to 10,049.60, 15,069.04 and 3,474.08

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Solution

The fourth proportional to 10,049.60, 15,069.04 and 3,474.08 is: 5,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.60 : 15,069.04 = 3,474.08 : x
  2. Step 2: Convert to fraction form
    10,049.60/15,069.04 = 3,474.08/x
  3. Step 3: Cross multiply
    10,049.60x = 15,069.04 × 3,474.08
  4. Step 4: Simplify right side
    10,049.60x = 52,351,050.48
  5. Step 5: Solve for x
    x = 52,351,050.48/10,049.60
  6. Step 6: Final answer
    x = 5,209.27

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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.