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Finding the Fourth Proportional to 8,247.65, 12,371.29 and 2,007.69

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Solution

The fourth proportional to 8,247.65, 12,371.29 and 2,007.69 is: 3,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.65 : 12,371.29 = 2,007.69 : x
  2. Step 2: Convert to fraction form
    8,247.65/12,371.29 = 2,007.69/x
  3. Step 3: Cross multiply
    8,247.65x = 12,371.29 × 2,007.69
  4. Step 4: Simplify right side
    8,247.65x = 24,837,710.20
  5. Step 5: Solve for x
    x = 24,837,710.20/8,247.65
  6. Step 6: Final answer
    x = 3,011.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.