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Finding the Fourth Proportional to 10,164.20, 15,248 and 3,500.43

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Solution

The fourth proportional to 10,164.20, 15,248 and 3,500.43 is: 5,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.20 : 15,248 = 3,500.43 : x
  2. Step 2: Convert to fraction form
    10,164.20/15,248 = 3,500.43/x
  3. Step 3: Cross multiply
    10,164.20x = 15,248 × 3,500.43
  4. Step 4: Simplify right side
    10,164.20x = 53,374,480.40
  5. Step 5: Solve for x
    x = 53,374,480.40/10,164.20
  6. Step 6: Final answer
    x = 5,251.23

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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.