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Finding the Fourth Proportional to 8,691.62, 12,004.29 and 5,854.07

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Solution

The fourth proportional to 8,691.62, 12,004.29 and 5,854.07 is: 8,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.62 : 12,004.29 = 5,854.07 : x
  2. Step 2: Convert to fraction form
    8,691.62/12,004.29 = 5,854.07/x
  3. Step 3: Cross multiply
    8,691.62x = 12,004.29 × 5,854.07
  4. Step 4: Simplify right side
    8,691.62x = 70,273,893.94
  5. Step 5: Solve for x
    x = 70,273,893.94/8,691.62
  6. Step 6: Final answer
    x = 8,085.24

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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.