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Finding the Fourth Proportional to 8,561.62, 11,817.12 and 5,026.78

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Solution

The fourth proportional to 8,561.62, 11,817.12 and 5,026.78 is: 6,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.62 : 11,817.12 = 5,026.78 : x
  2. Step 2: Convert to fraction form
    8,561.62/11,817.12 = 5,026.78/x
  3. Step 3: Cross multiply
    8,561.62x = 11,817.12 × 5,026.78
  4. Step 4: Simplify right side
    8,561.62x = 59,402,062.47
  5. Step 5: Solve for x
    x = 59,402,062.47/8,561.62
  6. Step 6: Final answer
    x = 6,938.18

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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.