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Finding the Fourth Proportional to 8,824, 12,177.72 and 5,098

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Solution

The fourth proportional to 8,824, 12,177.72 and 5,098 is: 7,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824 : 12,177.72 = 5,098 : x
  2. Step 2: Convert to fraction form
    8,824/12,177.72 = 5,098/x
  3. Step 3: Cross multiply
    8,824x = 12,177.72 × 5,098
  4. Step 4: Simplify right side
    8,824x = 62,082,016.56
  5. Step 5: Solve for x
    x = 62,082,016.56/8,824
  6. Step 6: Final answer
    x = 7,035.59

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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.