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Finding the Fourth Proportional to 8,002.65, 11,043.31 and 4,465.83

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Solution

The fourth proportional to 8,002.65, 11,043.31 and 4,465.83 is: 6,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.65 : 11,043.31 = 4,465.83 : x
  2. Step 2: Convert to fraction form
    8,002.65/11,043.31 = 4,465.83/x
  3. Step 3: Cross multiply
    8,002.65x = 11,043.31 × 4,465.83
  4. Step 4: Simplify right side
    8,002.65x = 49,317,545.10
  5. Step 5: Solve for x
    x = 49,317,545.10/8,002.65
  6. Step 6: Final answer
    x = 6,162.65

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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.