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Finding the Fourth Proportional to 8,585.47, 11,759.16 and 8,081.11

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Solution

The fourth proportional to 8,585.47, 11,759.16 and 8,081.11 is: 11,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.47 : 11,759.16 = 8,081.11 : x
  2. Step 2: Convert to fraction form
    8,585.47/11,759.16 = 8,081.11/x
  3. Step 3: Cross multiply
    8,585.47x = 11,759.16 × 8,081.11
  4. Step 4: Simplify right side
    8,585.47x = 95,027,006.67
  5. Step 5: Solve for x
    x = 95,027,006.67/8,585.47
  6. Step 6: Final answer
    x = 11,068.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.