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Finding the Fourth Proportional to 4,337.12, 6,512.16 and 4,272.32

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Solution

The fourth proportional to 4,337.12, 6,512.16 and 4,272.32 is: 6,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.12 : 6,512.16 = 4,272.32 : x
  2. Step 2: Convert to fraction form
    4,337.12/6,512.16 = 4,272.32/x
  3. Step 3: Cross multiply
    4,337.12x = 6,512.16 × 4,272.32
  4. Step 4: Simplify right side
    4,337.12x = 27,822,031.41
  5. Step 5: Solve for x
    x = 27,822,031.41/4,337.12
  6. Step 6: Final answer
    x = 6,414.86

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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.