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Finding the Fourth Proportional to 8,449.52, 12,677.92 and 4,556.66

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Solution

The fourth proportional to 8,449.52, 12,677.92 and 4,556.66 is: 6,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.52 : 12,677.92 = 4,556.66 : x
  2. Step 2: Convert to fraction form
    8,449.52/12,677.92 = 4,556.66/x
  3. Step 3: Cross multiply
    8,449.52x = 12,677.92 × 4,556.66
  4. Step 4: Simplify right side
    8,449.52x = 57,768,896.17
  5. Step 5: Solve for x
    x = 57,768,896.17/8,449.52
  6. Step 6: Final answer
    x = 6,836.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.