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Finding the Fourth Proportional to 8,247.73, 11,371.84 and 5,731.93

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Solution

The fourth proportional to 8,247.73, 11,371.84 and 5,731.93 is: 7,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.73 : 11,371.84 = 5,731.93 : x
  2. Step 2: Convert to fraction form
    8,247.73/11,371.84 = 5,731.93/x
  3. Step 3: Cross multiply
    8,247.73x = 11,371.84 × 5,731.93
  4. Step 4: Simplify right side
    8,247.73x = 65,182,590.85
  5. Step 5: Solve for x
    x = 65,182,590.85/8,247.73
  6. Step 6: Final answer
    x = 7,903.09

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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.