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Finding the Fourth Proportional to 8,247, 11,372.31 and 5,731.95

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Solution

The fourth proportional to 8,247, 11,372.31 and 5,731.95 is: 7,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247 : 11,372.31 = 5,731.95 : x
  2. Step 2: Convert to fraction form
    8,247/11,372.31 = 5,731.95/x
  3. Step 3: Cross multiply
    8,247x = 11,372.31 × 5,731.95
  4. Step 4: Simplify right side
    8,247x = 65,185,512.30
  5. Step 5: Solve for x
    x = 65,185,512.30/8,247
  6. Step 6: Final answer
    x = 7,904.15

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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.