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Finding the Fourth Proportional to 6,680.24, 10,022.06 and 3,909.24

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Solution

The fourth proportional to 6,680.24, 10,022.06 and 3,909.24 is: 5,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.24 : 10,022.06 = 3,909.24 : x
  2. Step 2: Convert to fraction form
    6,680.24/10,022.06 = 3,909.24/x
  3. Step 3: Cross multiply
    6,680.24x = 10,022.06 × 3,909.24
  4. Step 4: Simplify right side
    6,680.24x = 39,178,587.72
  5. Step 5: Solve for x
    x = 39,178,587.72/6,680.24
  6. Step 6: Final answer
    x = 5,864.85

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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.