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Finding the Fourth Proportional to 11,169.42, 15,415.70 and 6,456.44

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Solution

The fourth proportional to 11,169.42, 15,415.70 and 6,456.44 is: 8,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169.42 : 15,415.70 = 6,456.44 : x
  2. Step 2: Convert to fraction form
    11,169.42/15,415.70 = 6,456.44/x
  3. Step 3: Cross multiply
    11,169.42x = 15,415.70 × 6,456.44
  4. Step 4: Simplify right side
    11,169.42x = 99,530,432.75
  5. Step 5: Solve for x
    x = 99,530,432.75/11,169.42
  6. Step 6: Final answer
    x = 8,910.98

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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.