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Finding the Fourth Proportional to 8,224.98, 12,332.97 and 2,959.26

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Solution

The fourth proportional to 8,224.98, 12,332.97 and 2,959.26 is: 4,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.98 : 12,332.97 = 2,959.26 : x
  2. Step 2: Convert to fraction form
    8,224.98/12,332.97 = 2,959.26/x
  3. Step 3: Cross multiply
    8,224.98x = 12,332.97 × 2,959.26
  4. Step 4: Simplify right side
    8,224.98x = 36,496,464.80
  5. Step 5: Solve for x
    x = 36,496,464.80/8,224.98
  6. Step 6: Final answer
    x = 4,437.27

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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.