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Finding the Fourth Proportional to 10,472.93, 14,452.67 and 5,757.21

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Solution

The fourth proportional to 10,472.93, 14,452.67 and 5,757.21 is: 7,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.93 : 14,452.67 = 5,757.21 : x
  2. Step 2: Convert to fraction form
    10,472.93/14,452.67 = 5,757.21/x
  3. Step 3: Cross multiply
    10,472.93x = 14,452.67 × 5,757.21
  4. Step 4: Simplify right side
    10,472.93x = 83,207,056.25
  5. Step 5: Solve for x
    x = 83,207,056.25/10,472.93
  6. Step 6: Final answer
    x = 7,944.96

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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.