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Finding the Fourth Proportional to 11,306.44, 16,948.86 and 5,062.96

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Solution

The fourth proportional to 11,306.44, 16,948.86 and 5,062.96 is: 7,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.44 : 16,948.86 = 5,062.96 : x
  2. Step 2: Convert to fraction form
    11,306.44/16,948.86 = 5,062.96/x
  3. Step 3: Cross multiply
    11,306.44x = 16,948.86 × 5,062.96
  4. Step 4: Simplify right side
    11,306.44x = 85,811,400.23
  5. Step 5: Solve for x
    x = 85,811,400.23/11,306.44
  6. Step 6: Final answer
    x = 7,589.60

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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.