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Finding the Fourth Proportional to 11,221.32, 15,486.78 and 6,505.80

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Solution

The fourth proportional to 11,221.32, 15,486.78 and 6,505.80 is: 8,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.32 : 15,486.78 = 6,505.80 : x
  2. Step 2: Convert to fraction form
    11,221.32/15,486.78 = 6,505.80/x
  3. Step 3: Cross multiply
    11,221.32x = 15,486.78 × 6,505.80
  4. Step 4: Simplify right side
    11,221.32x = 100,753,893.32
  5. Step 5: Solve for x
    x = 100,753,893.32/11,221.32
  6. Step 6: Final answer
    x = 8,978.79

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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.