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Finding the Fourth Proportional to 8,102.92, 12,154.38 and 4,199.13

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Solution

The fourth proportional to 8,102.92, 12,154.38 and 4,199.13 is: 6,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.92 : 12,154.38 = 4,199.13 : x
  2. Step 2: Convert to fraction form
    8,102.92/12,154.38 = 4,199.13/x
  3. Step 3: Cross multiply
    8,102.92x = 12,154.38 × 4,199.13
  4. Step 4: Simplify right side
    8,102.92x = 51,037,821.69
  5. Step 5: Solve for x
    x = 51,037,821.69/8,102.92
  6. Step 6: Final answer
    x = 6,298.70

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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.