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Finding the Fourth Proportional to 12,727.12, 17,565.78 and 7,949.20

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Solution

The fourth proportional to 12,727.12, 17,565.78 and 7,949.20 is: 10,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.12 : 17,565.78 = 7,949.20 : x
  2. Step 2: Convert to fraction form
    12,727.12/17,565.78 = 7,949.20/x
  3. Step 3: Cross multiply
    12,727.12x = 17,565.78 × 7,949.20
  4. Step 4: Simplify right side
    12,727.12x = 139,633,898.38
  5. Step 5: Solve for x
    x = 139,633,898.38/12,727.12
  6. Step 6: Final answer
    x = 10,971.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.