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Finding the Fourth Proportional to 6,687.67, 10,031.47 and 2,007.65

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Solution

The fourth proportional to 6,687.67, 10,031.47 and 2,007.65 is: 3,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.67 : 10,031.47 = 2,007.65 : x
  2. Step 2: Convert to fraction form
    6,687.67/10,031.47 = 2,007.65/x
  3. Step 3: Cross multiply
    6,687.67x = 10,031.47 × 2,007.65
  4. Step 4: Simplify right side
    6,687.67x = 20,139,680.75
  5. Step 5: Solve for x
    x = 20,139,680.75/6,687.67
  6. Step 6: Final answer
    x = 3,011.47

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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.