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Finding the Fourth Proportional to 8,618.14, 12,929.36 and 2,462.14

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Solution

The fourth proportional to 8,618.14, 12,929.36 and 2,462.14 is: 3,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.14 : 12,929.36 = 2,462.14 : x
  2. Step 2: Convert to fraction form
    8,618.14/12,929.36 = 2,462.14/x
  3. Step 3: Cross multiply
    8,618.14x = 12,929.36 × 2,462.14
  4. Step 4: Simplify right side
    8,618.14x = 31,833,882.12
  5. Step 5: Solve for x
    x = 31,833,882.12/8,618.14
  6. Step 6: Final answer
    x = 3,693.82

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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.