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Finding the Fourth Proportional to 10,337.10, 15,469.20 and 7,202.40

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Solution

The fourth proportional to 10,337.10, 15,469.20 and 7,202.40 is: 10,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.10 : 15,469.20 = 7,202.40 : x
  2. Step 2: Convert to fraction form
    10,337.10/15,469.20 = 7,202.40/x
  3. Step 3: Cross multiply
    10,337.10x = 15,469.20 × 7,202.40
  4. Step 4: Simplify right side
    10,337.10x = 111,415,366.08
  5. Step 5: Solve for x
    x = 111,415,366.08/10,337.10
  6. Step 6: Final answer
    x = 10,778.20

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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.