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Finding the Fourth Proportional to 8,767, 12,098.48 and 5,627.44

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Solution

The fourth proportional to 8,767, 12,098.48 and 5,627.44 is: 7,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767 : 12,098.48 = 5,627.44 : x
  2. Step 2: Convert to fraction form
    8,767/12,098.48 = 5,627.44/x
  3. Step 3: Cross multiply
    8,767x = 12,098.48 × 5,627.44
  4. Step 4: Simplify right side
    8,767x = 68,083,470.29
  5. Step 5: Solve for x
    x = 68,083,470.29/8,767
  6. Step 6: Final answer
    x = 7,765.88

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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.