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Finding the Fourth Proportional to 10,471.72, 14,451.18 and 5,756.44

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Solution

The fourth proportional to 10,471.72, 14,451.18 and 5,756.44 is: 7,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.72 : 14,451.18 = 5,756.44 : x
  2. Step 2: Convert to fraction form
    10,471.72/14,451.18 = 5,756.44/x
  3. Step 3: Cross multiply
    10,471.72x = 14,451.18 × 5,756.44
  4. Step 4: Simplify right side
    10,471.72x = 83,187,350.60
  5. Step 5: Solve for x
    x = 83,187,350.60/10,471.72
  6. Step 6: Final answer
    x = 7,944.00

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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.