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Finding the Fourth Proportional to 8,082.98, 12,129.15 and 3,402.69

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Solution

The fourth proportional to 8,082.98, 12,129.15 and 3,402.69 is: 5,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.98 : 12,129.15 = 3,402.69 : x
  2. Step 2: Convert to fraction form
    8,082.98/12,129.15 = 3,402.69/x
  3. Step 3: Cross multiply
    8,082.98x = 12,129.15 × 3,402.69
  4. Step 4: Simplify right side
    8,082.98x = 41,271,737.41
  5. Step 5: Solve for x
    x = 41,271,737.41/8,082.98
  6. Step 6: Final answer
    x = 5,106.01

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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.