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Finding the Fourth Proportional to 11,189.76, 15,442.56 and 6,221.76

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Solution

The fourth proportional to 11,189.76, 15,442.56 and 6,221.76 is: 8,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.76 : 15,442.56 = 6,221.76 : x
  2. Step 2: Convert to fraction form
    11,189.76/15,442.56 = 6,221.76/x
  3. Step 3: Cross multiply
    11,189.76x = 15,442.56 × 6,221.76
  4. Step 4: Simplify right side
    11,189.76x = 96,079,902.11
  5. Step 5: Solve for x
    x = 96,079,902.11/11,189.76
  6. Step 6: Final answer
    x = 8,586.41

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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.