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Finding the Fourth Proportional to 11,046.96, 16,570.54 and 3,149.47

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Solution

The fourth proportional to 11,046.96, 16,570.54 and 3,149.47 is: 4,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.96 : 16,570.54 = 3,149.47 : x
  2. Step 2: Convert to fraction form
    11,046.96/16,570.54 = 3,149.47/x
  3. Step 3: Cross multiply
    11,046.96x = 16,570.54 × 3,149.47
  4. Step 4: Simplify right side
    11,046.96x = 52,188,418.61
  5. Step 5: Solve for x
    x = 52,188,418.61/11,046.96
  6. Step 6: Final answer
    x = 4,724.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.