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Finding the Fourth Proportional to 8,379.60, 12,569.66 and 2,139.62

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Solution

The fourth proportional to 8,379.60, 12,569.66 and 2,139.62 is: 3,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.60 : 12,569.66 = 2,139.62 : x
  2. Step 2: Convert to fraction form
    8,379.60/12,569.66 = 2,139.62/x
  3. Step 3: Cross multiply
    8,379.60x = 12,569.66 × 2,139.62
  4. Step 4: Simplify right side
    8,379.60x = 26,894,295.93
  5. Step 5: Solve for x
    x = 26,894,295.93/8,379.60
  6. Step 6: Final answer
    x = 3,209.50

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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.