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Finding the Fourth Proportional to 8,002.31, 11,043.17 and 4,465.53

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Solution

The fourth proportional to 8,002.31, 11,043.17 and 4,465.53 is: 6,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.31 : 11,043.17 = 4,465.53 : x
  2. Step 2: Convert to fraction form
    8,002.31/11,043.17 = 4,465.53/x
  3. Step 3: Cross multiply
    8,002.31x = 11,043.17 × 4,465.53
  4. Step 4: Simplify right side
    8,002.31x = 49,313,584.60
  5. Step 5: Solve for x
    x = 49,313,584.60/8,002.31
  6. Step 6: Final answer
    x = 6,162.42

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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.