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Finding the Fourth Proportional to 8,082.16, 12,124.40 and 2,886.80

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Solution

The fourth proportional to 8,082.16, 12,124.40 and 2,886.80 is: 4,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.16 : 12,124.40 = 2,886.80 : x
  2. Step 2: Convert to fraction form
    8,082.16/12,124.40 = 2,886.80/x
  3. Step 3: Cross multiply
    8,082.16x = 12,124.40 × 2,886.80
  4. Step 4: Simplify right side
    8,082.16x = 35,000,717.92
  5. Step 5: Solve for x
    x = 35,000,717.92/8,082.16
  6. Step 6: Final answer
    x = 4,330.61

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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.