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Finding the Fourth Proportional to 8,042.49, 12,047.13 and 5,964.84

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Solution

The fourth proportional to 8,042.49, 12,047.13 and 5,964.84 is: 8,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.49 : 12,047.13 = 5,964.84 : x
  2. Step 2: Convert to fraction form
    8,042.49/12,047.13 = 5,964.84/x
  3. Step 3: Cross multiply
    8,042.49x = 12,047.13 × 5,964.84
  4. Step 4: Simplify right side
    8,042.49x = 71,859,202.91
  5. Step 5: Solve for x
    x = 71,859,202.91/8,042.49
  6. Step 6: Final answer
    x = 8,934.94

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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.