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Finding the Fourth Proportional to 10,523.94, 15,785.28 and 3,949.56

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Solution

The fourth proportional to 10,523.94, 15,785.28 and 3,949.56 is: 5,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.94 : 15,785.28 = 3,949.56 : x
  2. Step 2: Convert to fraction form
    10,523.94/15,785.28 = 3,949.56/x
  3. Step 3: Cross multiply
    10,523.94x = 15,785.28 × 3,949.56
  4. Step 4: Simplify right side
    10,523.94x = 62,344,910.48
  5. Step 5: Solve for x
    x = 62,344,910.48/10,523.94
  6. Step 6: Final answer
    x = 5,924.10

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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.