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Finding the Fourth Proportional to 8,342.89, 11,512.84 and 4,987.55

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Solution

The fourth proportional to 8,342.89, 11,512.84 and 4,987.55 is: 6,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.89 : 11,512.84 = 4,987.55 : x
  2. Step 2: Convert to fraction form
    8,342.89/11,512.84 = 4,987.55/x
  3. Step 3: Cross multiply
    8,342.89x = 11,512.84 × 4,987.55
  4. Step 4: Simplify right side
    8,342.89x = 57,420,865.14
  5. Step 5: Solve for x
    x = 57,420,865.14/8,342.89
  6. Step 6: Final answer
    x = 6,882.61

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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.