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Finding the Fourth Proportional to 8,165.43, 12,233.52 and 4,651.65

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Solution

The fourth proportional to 8,165.43, 12,233.52 and 4,651.65 is: 6,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.43 : 12,233.52 = 4,651.65 : x
  2. Step 2: Convert to fraction form
    8,165.43/12,233.52 = 4,651.65/x
  3. Step 3: Cross multiply
    8,165.43x = 12,233.52 × 4,651.65
  4. Step 4: Simplify right side
    8,165.43x = 56,906,053.31
  5. Step 5: Solve for x
    x = 56,906,053.31/8,165.43
  6. Step 6: Final answer
    x = 6,969.14

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