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Finding the Fourth Proportional to 8,233.71, 12,351.15 and 2,686.65

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Solution

The fourth proportional to 8,233.71, 12,351.15 and 2,686.65 is: 4,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.71 : 12,351.15 = 2,686.65 : x
  2. Step 2: Convert to fraction form
    8,233.71/12,351.15 = 2,686.65/x
  3. Step 3: Cross multiply
    8,233.71x = 12,351.15 × 2,686.65
  4. Step 4: Simplify right side
    8,233.71x = 33,183,217.15
  5. Step 5: Solve for x
    x = 33,183,217.15/8,233.71
  6. Step 6: Final answer
    x = 4,030.17

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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.