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Finding the Fourth Proportional to 8,117.84, 12,176.67 and 2,571.18

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Solution

The fourth proportional to 8,117.84, 12,176.67 and 2,571.18 is: 3,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.84 : 12,176.67 = 2,571.18 : x
  2. Step 2: Convert to fraction form
    8,117.84/12,176.67 = 2,571.18/x
  3. Step 3: Cross multiply
    8,117.84x = 12,176.67 × 2,571.18
  4. Step 4: Simplify right side
    8,117.84x = 31,308,416.80
  5. Step 5: Solve for x
    x = 31,308,416.80/8,117.84
  6. Step 6: Final answer
    x = 3,856.74

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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.