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Finding the Fourth Proportional to 8,216.90, 11,344.61 and 7,331.16

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Solution

The fourth proportional to 8,216.90, 11,344.61 and 7,331.16 is: 10,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.90 : 11,344.61 = 7,331.16 : x
  2. Step 2: Convert to fraction form
    8,216.90/11,344.61 = 7,331.16/x
  3. Step 3: Cross multiply
    8,216.90x = 11,344.61 × 7,331.16
  4. Step 4: Simplify right side
    8,216.90x = 83,169,169.38
  5. Step 5: Solve for x
    x = 83,169,169.38/8,216.90
  6. Step 6: Final answer
    x = 10,121.73

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Why These Related Problems?

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