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Finding the Fourth Proportional to 10,149.60, 15,214.07 and 6,863.03

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Solution

The fourth proportional to 10,149.60, 15,214.07 and 6,863.03 is: 10,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.60 : 15,214.07 = 6,863.03 : x
  2. Step 2: Convert to fraction form
    10,149.60/15,214.07 = 6,863.03/x
  3. Step 3: Cross multiply
    10,149.60x = 15,214.07 × 6,863.03
  4. Step 4: Simplify right side
    10,149.60x = 104,414,559.92
  5. Step 5: Solve for x
    x = 104,414,559.92/10,149.60
  6. Step 6: Final answer
    x = 10,287.55

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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.