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Finding the Fourth Proportional to 7,129.88, 10,694.46 and 4,169.96

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Solution

The fourth proportional to 7,129.88, 10,694.46 and 4,169.96 is: 6,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.88 : 10,694.46 = 4,169.96 : x
  2. Step 2: Convert to fraction form
    7,129.88/10,694.46 = 4,169.96/x
  3. Step 3: Cross multiply
    7,129.88x = 10,694.46 × 4,169.96
  4. Step 4: Simplify right side
    7,129.88x = 44,595,470.42
  5. Step 5: Solve for x
    x = 44,595,470.42/7,129.88
  6. Step 6: Final answer
    x = 6,254.73

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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.