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Finding the Fourth Proportional to 7,967.66, 11,951.49 and 2,124.29

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Solution

The fourth proportional to 7,967.66, 11,951.49 and 2,124.29 is: 3,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.66 : 11,951.49 = 2,124.29 : x
  2. Step 2: Convert to fraction form
    7,967.66/11,951.49 = 2,124.29/x
  3. Step 3: Cross multiply
    7,967.66x = 11,951.49 × 2,124.29
  4. Step 4: Simplify right side
    7,967.66x = 25,388,430.69
  5. Step 5: Solve for x
    x = 25,388,430.69/7,967.66
  6. Step 6: Final answer
    x = 3,186.44

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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.