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Finding the Fourth Proportional to 7,167.12, 9,891.96 and 4,512.72

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Solution

The fourth proportional to 7,167.12, 9,891.96 and 4,512.72 is: 6,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.12 : 9,891.96 = 4,512.72 : x
  2. Step 2: Convert to fraction form
    7,167.12/9,891.96 = 4,512.72/x
  3. Step 3: Cross multiply
    7,167.12x = 9,891.96 × 4,512.72
  4. Step 4: Simplify right side
    7,167.12x = 44,639,645.73
  5. Step 5: Solve for x
    x = 44,639,645.73/7,167.12
  6. Step 6: Final answer
    x = 6,228.39

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Why These Related Problems?

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