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Finding the Fourth Proportional to 10,576.68, 15,863.47 and 2,785.48

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Solution

The fourth proportional to 10,576.68, 15,863.47 and 2,785.48 is: 4,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.68 : 15,863.47 = 2,785.48 : x
  2. Step 2: Convert to fraction form
    10,576.68/15,863.47 = 2,785.48/x
  3. Step 3: Cross multiply
    10,576.68x = 15,863.47 × 2,785.48
  4. Step 4: Simplify right side
    10,576.68x = 44,187,378.42
  5. Step 5: Solve for x
    x = 44,187,378.42/10,576.68
  6. Step 6: Final answer
    x = 4,177.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.