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Finding the Fourth Proportional to 10,472.30, 14,451.40 and 5,756.54

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Solution

The fourth proportional to 10,472.30, 14,451.40 and 5,756.54 is: 7,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.30 : 14,451.40 = 5,756.54 : x
  2. Step 2: Convert to fraction form
    10,472.30/14,451.40 = 5,756.54/x
  3. Step 3: Cross multiply
    10,472.30x = 14,451.40 × 5,756.54
  4. Step 4: Simplify right side
    10,472.30x = 83,190,105.48
  5. Step 5: Solve for x
    x = 83,190,105.48/10,472.30
  6. Step 6: Final answer
    x = 7,943.83

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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.