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Finding the Fourth Proportional to 8,569.68, 12,854.77 and 2,329.66

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Solution

The fourth proportional to 8,569.68, 12,854.77 and 2,329.66 is: 3,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.68 : 12,854.77 = 2,329.66 : x
  2. Step 2: Convert to fraction form
    8,569.68/12,854.77 = 2,329.66/x
  3. Step 3: Cross multiply
    8,569.68x = 12,854.77 × 2,329.66
  4. Step 4: Simplify right side
    8,569.68x = 29,947,253.72
  5. Step 5: Solve for x
    x = 29,947,253.72/8,569.68
  6. Step 6: Final answer
    x = 3,494.56

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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.