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Finding the Fourth Proportional to 8,290.31, 11,446.12 and 6,372.72

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Solution

The fourth proportional to 8,290.31, 11,446.12 and 6,372.72 is: 8,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.31 : 11,446.12 = 6,372.72 : x
  2. Step 2: Convert to fraction form
    8,290.31/11,446.12 = 6,372.72/x
  3. Step 3: Cross multiply
    8,290.31x = 11,446.12 × 6,372.72
  4. Step 4: Simplify right side
    8,290.31x = 72,942,901.91
  5. Step 5: Solve for x
    x = 72,942,901.91/8,290.31
  6. Step 6: Final answer
    x = 8,798.58

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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.