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Finding the Fourth Proportional to 8,745, 12,067.95 and 4,766.16

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Solution

The fourth proportional to 8,745, 12,067.95 and 4,766.16 is: 6,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745 : 12,067.95 = 4,766.16 : x
  2. Step 2: Convert to fraction form
    8,745/12,067.95 = 4,766.16/x
  3. Step 3: Cross multiply
    8,745x = 12,067.95 × 4,766.16
  4. Step 4: Simplify right side
    8,745x = 57,517,780.57
  5. Step 5: Solve for x
    x = 57,517,780.57/8,745
  6. Step 6: Final answer
    x = 6,577.22

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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.