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Finding the Fourth Proportional to 11,205.60, 15,463.20 and 6,169.44

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Solution

The fourth proportional to 11,205.60, 15,463.20 and 6,169.44 is: 8,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.60 : 15,463.20 = 6,169.44 : x
  2. Step 2: Convert to fraction form
    11,205.60/15,463.20 = 6,169.44/x
  3. Step 3: Cross multiply
    11,205.60x = 15,463.20 × 6,169.44
  4. Step 4: Simplify right side
    11,205.60x = 95,399,284.61
  5. Step 5: Solve for x
    x = 95,399,284.61/11,205.60
  6. Step 6: Final answer
    x = 8,513.54

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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.