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Finding the Fourth Proportional to 6,686.97, 10,029.09 and 2,304.75

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Solution

The fourth proportional to 6,686.97, 10,029.09 and 2,304.75 is: 3,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.97 : 10,029.09 = 2,304.75 : x
  2. Step 2: Convert to fraction form
    6,686.97/10,029.09 = 2,304.75/x
  3. Step 3: Cross multiply
    6,686.97x = 10,029.09 × 2,304.75
  4. Step 4: Simplify right side
    6,686.97x = 23,114,545.18
  5. Step 5: Solve for x
    x = 23,114,545.18/6,686.97
  6. Step 6: Final answer
    x = 3,456.65

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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.