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Finding the Fourth Proportional to 8,691.87, 12,004.64 and 5,854.32

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Solution

The fourth proportional to 8,691.87, 12,004.64 and 5,854.32 is: 8,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.87 : 12,004.64 = 5,854.32 : x
  2. Step 2: Convert to fraction form
    8,691.87/12,004.64 = 5,854.32/x
  3. Step 3: Cross multiply
    8,691.87x = 12,004.64 × 5,854.32
  4. Step 4: Simplify right side
    8,691.87x = 70,279,004.04
  5. Step 5: Solve for x
    x = 70,279,004.04/8,691.87
  6. Step 6: Final answer
    x = 8,085.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.