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Finding the Fourth Proportional to 8,220.29, 11,343.34 and 5,032.25

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Solution

The fourth proportional to 8,220.29, 11,343.34 and 5,032.25 is: 6,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.29 : 11,343.34 = 5,032.25 : x
  2. Step 2: Convert to fraction form
    8,220.29/11,343.34 = 5,032.25/x
  3. Step 3: Cross multiply
    8,220.29x = 11,343.34 × 5,032.25
  4. Step 4: Simplify right side
    8,220.29x = 57,082,546.73
  5. Step 5: Solve for x
    x = 57,082,546.73/8,220.29
  6. Step 6: Final answer
    x = 6,944.11

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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.