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Finding the Fourth Proportional to 8,224.92, 12,332.93 and 2,959.11

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Solution

The fourth proportional to 8,224.92, 12,332.93 and 2,959.11 is: 4,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.92 : 12,332.93 = 2,959.11 : x
  2. Step 2: Convert to fraction form
    8,224.92/12,332.93 = 2,959.11/x
  3. Step 3: Cross multiply
    8,224.92x = 12,332.93 × 2,959.11
  4. Step 4: Simplify right side
    8,224.92x = 36,494,481.70
  5. Step 5: Solve for x
    x = 36,494,481.70/8,224.92
  6. Step 6: Final answer
    x = 4,437.06

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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.