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Finding the Fourth Proportional to 8,117.73, 12,176.73 and 2,571.12

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Solution

The fourth proportional to 8,117.73, 12,176.73 and 2,571.12 is: 3,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.73 : 12,176.73 = 2,571.12 : x
  2. Step 2: Convert to fraction form
    8,117.73/12,176.73 = 2,571.12/x
  3. Step 3: Cross multiply
    8,117.73x = 12,176.73 × 2,571.12
  4. Step 4: Simplify right side
    8,117.73x = 31,307,834.04
  5. Step 5: Solve for x
    x = 31,307,834.04/8,117.73
  6. Step 6: Final answer
    x = 3,856.72

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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.