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Finding the Fourth Proportional to 8,116.95, 12,176.28 and 2,571.06

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Solution

The fourth proportional to 8,116.95, 12,176.28 and 2,571.06 is: 3,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.95 : 12,176.28 = 2,571.06 : x
  2. Step 2: Convert to fraction form
    8,116.95/12,176.28 = 2,571.06/x
  3. Step 3: Cross multiply
    8,116.95x = 12,176.28 × 2,571.06
  4. Step 4: Simplify right side
    8,116.95x = 31,305,946.46
  5. Step 5: Solve for x
    x = 31,305,946.46/8,116.95
  6. Step 6: Final answer
    x = 3,856.86

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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.