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Finding the Fourth Proportional to 10,140.64, 15,211.86 and 3,902.20

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Solution

The fourth proportional to 10,140.64, 15,211.86 and 3,902.20 is: 5,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.64 : 15,211.86 = 3,902.20 : x
  2. Step 2: Convert to fraction form
    10,140.64/15,211.86 = 3,902.20/x
  3. Step 3: Cross multiply
    10,140.64x = 15,211.86 × 3,902.20
  4. Step 4: Simplify right side
    10,140.64x = 59,359,720.09
  5. Step 5: Solve for x
    x = 59,359,720.09/10,140.64
  6. Step 6: Final answer
    x = 5,853.65

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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.