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Finding the Fourth Proportional to 11,568.79, 15,949.49 and 8,685.31

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Solution

The fourth proportional to 11,568.79, 15,949.49 and 8,685.31 is: 11,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.79 : 15,949.49 = 8,685.31 : x
  2. Step 2: Convert to fraction form
    11,568.79/15,949.49 = 8,685.31/x
  3. Step 3: Cross multiply
    11,568.79x = 15,949.49 × 8,685.31
  4. Step 4: Simplify right side
    11,568.79x = 138,526,364.38
  5. Step 5: Solve for x
    x = 138,526,364.38/11,568.79
  6. Step 6: Final answer
    x = 11,974.14

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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.