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Finding the Fourth Proportional to 8,182.96, 12,277.68 and 4,672.96

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Solution

The fourth proportional to 8,182.96, 12,277.68 and 4,672.96 is: 7,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.96 : 12,277.68 = 4,672.96 : x
  2. Step 2: Convert to fraction form
    8,182.96/12,277.68 = 4,672.96/x
  3. Step 3: Cross multiply
    8,182.96x = 12,277.68 × 4,672.96
  4. Step 4: Simplify right side
    8,182.96x = 57,373,107.53
  5. Step 5: Solve for x
    x = 57,373,107.53/8,182.96
  6. Step 6: Final answer
    x = 7,011.29

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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.