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Finding the Fourth Proportional to 7,844.32, 11,753.20 and 3,890.28

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Solution

The fourth proportional to 7,844.32, 11,753.20 and 3,890.28 is: 5,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.32 : 11,753.20 = 3,890.28 : x
  2. Step 2: Convert to fraction form
    7,844.32/11,753.20 = 3,890.28/x
  3. Step 3: Cross multiply
    7,844.32x = 11,753.20 × 3,890.28
  4. Step 4: Simplify right side
    7,844.32x = 45,723,238.90
  5. Step 5: Solve for x
    x = 45,723,238.90/7,844.32
  6. Step 6: Final answer
    x = 5,828.83

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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.