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Finding the Fourth Proportional to 8,159.54, 12,239.10 and 2,612.66

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Solution

The fourth proportional to 8,159.54, 12,239.10 and 2,612.66 is: 3,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.54 : 12,239.10 = 2,612.66 : x
  2. Step 2: Convert to fraction form
    8,159.54/12,239.10 = 2,612.66/x
  3. Step 3: Cross multiply
    8,159.54x = 12,239.10 × 2,612.66
  4. Step 4: Simplify right side
    8,159.54x = 31,976,545.81
  5. Step 5: Solve for x
    x = 31,976,545.81/8,159.54
  6. Step 6: Final answer
    x = 3,918.92

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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.