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Finding the Fourth Proportional to 8,320.97, 11,467.14 and 5,959.01

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Solution

The fourth proportional to 8,320.97, 11,467.14 and 5,959.01 is: 8,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.97 : 11,467.14 = 5,959.01 : x
  2. Step 2: Convert to fraction form
    8,320.97/11,467.14 = 5,959.01/x
  3. Step 3: Cross multiply
    8,320.97x = 11,467.14 × 5,959.01
  4. Step 4: Simplify right side
    8,320.97x = 68,332,744.60
  5. Step 5: Solve for x
    x = 68,332,744.60/8,320.97
  6. Step 6: Final answer
    x = 8,212.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.