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Finding the Fourth Proportional to 8,114.52, 12,175.14 and 2,920.92

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Solution

The fourth proportional to 8,114.52, 12,175.14 and 2,920.92 is: 4,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.52 : 12,175.14 = 2,920.92 : x
  2. Step 2: Convert to fraction form
    8,114.52/12,175.14 = 2,920.92/x
  3. Step 3: Cross multiply
    8,114.52x = 12,175.14 × 2,920.92
  4. Step 4: Simplify right side
    8,114.52x = 35,562,609.93
  5. Step 5: Solve for x
    x = 35,562,609.93/8,114.52
  6. Step 6: Final answer
    x = 4,382.59

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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.