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Finding the Fourth Proportional to 8,745.60, 12,068.82 and 4,766.61

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Solution

The fourth proportional to 8,745.60, 12,068.82 and 4,766.61 is: 6,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.60 : 12,068.82 = 4,766.61 : x
  2. Step 2: Convert to fraction form
    8,745.60/12,068.82 = 4,766.61/x
  3. Step 3: Cross multiply
    8,745.60x = 12,068.82 × 4,766.61
  4. Step 4: Simplify right side
    8,745.60x = 57,527,358.10
  5. Step 5: Solve for x
    x = 57,527,358.10/8,745.60
  6. Step 6: Final answer
    x = 6,577.86

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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.