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Finding the Fourth Proportional to 8,036.85, 12,034.31 and 6,468.29

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Solution

The fourth proportional to 8,036.85, 12,034.31 and 6,468.29 is: 9,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.85 : 12,034.31 = 6,468.29 : x
  2. Step 2: Convert to fraction form
    8,036.85/12,034.31 = 6,468.29/x
  3. Step 3: Cross multiply
    8,036.85x = 12,034.31 × 6,468.29
  4. Step 4: Simplify right side
    8,036.85x = 77,841,314.52
  5. Step 5: Solve for x
    x = 77,841,314.52/8,036.85
  6. Step 6: Final answer
    x = 9,685.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.