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Finding the Fourth Proportional to 11,144.96, 16,719.05 and 5,948

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Solution

The fourth proportional to 11,144.96, 16,719.05 and 5,948 is: 8,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.96 : 16,719.05 = 5,948 : x
  2. Step 2: Convert to fraction form
    11,144.96/16,719.05 = 5,948/x
  3. Step 3: Cross multiply
    11,144.96x = 16,719.05 × 5,948
  4. Step 4: Simplify right side
    11,144.96x = 99,444,909.40
  5. Step 5: Solve for x
    x = 99,444,909.40/11,144.96
  6. Step 6: Final answer
    x = 8,922.86

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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.