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Finding the Fourth Proportional to 8,116.57, 12,174.82 and 3,182.72

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Solution

The fourth proportional to 8,116.57, 12,174.82 and 3,182.72 is: 4,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.57 : 12,174.82 = 3,182.72 : x
  2. Step 2: Convert to fraction form
    8,116.57/12,174.82 = 3,182.72/x
  3. Step 3: Cross multiply
    8,116.57x = 12,174.82 × 3,182.72
  4. Step 4: Simplify right side
    8,116.57x = 38,749,043.11
  5. Step 5: Solve for x
    x = 38,749,043.11/8,116.57
  6. Step 6: Final answer
    x = 4,774.07

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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.