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Finding the Fourth Proportional to 10,144.60, 15,209.70 and 3,902.20

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Solution

The fourth proportional to 10,144.60, 15,209.70 and 3,902.20 is: 5,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.60 : 15,209.70 = 3,902.20 : x
  2. Step 2: Convert to fraction form
    10,144.60/15,209.70 = 3,902.20/x
  3. Step 3: Cross multiply
    10,144.60x = 15,209.70 × 3,902.20
  4. Step 4: Simplify right side
    10,144.60x = 59,351,291.34
  5. Step 5: Solve for x
    x = 59,351,291.34/10,144.60
  6. Step 6: Final answer
    x = 5,850.53

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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.