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Finding the Fourth Proportional to 8,656.38, 11,939.67 and 8,526.78

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Solution

The fourth proportional to 8,656.38, 11,939.67 and 8,526.78 is: 11,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.38 : 11,939.67 = 8,526.78 : x
  2. Step 2: Convert to fraction form
    8,656.38/11,939.67 = 8,526.78/x
  3. Step 3: Cross multiply
    8,656.38x = 11,939.67 × 8,526.78
  4. Step 4: Simplify right side
    8,656.38x = 101,806,939.36
  5. Step 5: Solve for x
    x = 101,806,939.36/8,656.38
  6. Step 6: Final answer
    x = 11,760.91

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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.