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Finding the Fourth Proportional to 8,116.65, 12,166.23 and 3,959.46

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Solution

The fourth proportional to 8,116.65, 12,166.23 and 3,959.46 is: 5,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.65 : 12,166.23 = 3,959.46 : x
  2. Step 2: Convert to fraction form
    8,116.65/12,166.23 = 3,959.46/x
  3. Step 3: Cross multiply
    8,116.65x = 12,166.23 × 3,959.46
  4. Step 4: Simplify right side
    8,116.65x = 48,171,701.04
  5. Step 5: Solve for x
    x = 48,171,701.04/8,116.65
  6. Step 6: Final answer
    x = 5,934.92

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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.