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Finding the Fourth Proportional to 10,475.87, 14,456.31 and 5,760.11

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Solution

The fourth proportional to 10,475.87, 14,456.31 and 5,760.11 is: 7,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.87 : 14,456.31 = 5,760.11 : x
  2. Step 2: Convert to fraction form
    10,475.87/14,456.31 = 5,760.11/x
  3. Step 3: Cross multiply
    10,475.87x = 14,456.31 × 5,760.11
  4. Step 4: Simplify right side
    10,475.87x = 83,269,863.51
  5. Step 5: Solve for x
    x = 83,269,863.51/10,475.87
  6. Step 6: Final answer
    x = 7,948.73

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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.