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Finding the Fourth Proportional to 10,472.77, 14,452.23 and 5,757.05

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Solution

The fourth proportional to 10,472.77, 14,452.23 and 5,757.05 is: 7,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.77 : 14,452.23 = 5,757.05 : x
  2. Step 2: Convert to fraction form
    10,472.77/14,452.23 = 5,757.05/x
  3. Step 3: Cross multiply
    10,472.77x = 14,452.23 × 5,757.05
  4. Step 4: Simplify right side
    10,472.77x = 83,202,210.72
  5. Step 5: Solve for x
    x = 83,202,210.72/10,472.77
  6. Step 6: Final answer
    x = 7,944.62

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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.