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Finding the Fourth Proportional to 7,129.85, 10,691.40 and 4,169.15

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Solution

The fourth proportional to 7,129.85, 10,691.40 and 4,169.15 is: 6,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.85 : 10,691.40 = 4,169.15 : x
  2. Step 2: Convert to fraction form
    7,129.85/10,691.40 = 4,169.15/x
  3. Step 3: Cross multiply
    7,129.85x = 10,691.40 × 4,169.15
  4. Step 4: Simplify right side
    7,129.85x = 44,574,050.31
  5. Step 5: Solve for x
    x = 44,574,050.31/7,129.85
  6. Step 6: Final answer
    x = 6,251.75

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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.