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Finding the Fourth Proportional to 8,747.68, 12,080 and 5,609.32

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Solution

The fourth proportional to 8,747.68, 12,080 and 5,609.32 is: 7,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.68 : 12,080 = 5,609.32 : x
  2. Step 2: Convert to fraction form
    8,747.68/12,080 = 5,609.32/x
  3. Step 3: Cross multiply
    8,747.68x = 12,080 × 5,609.32
  4. Step 4: Simplify right side
    8,747.68x = 67,760,585.60
  5. Step 5: Solve for x
    x = 67,760,585.60/8,747.68
  6. Step 6: Final answer
    x = 7,746.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.