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Finding the Fourth Proportional to 8,105.34, 12,158.69 and 2,557.20

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Solution

The fourth proportional to 8,105.34, 12,158.69 and 2,557.20 is: 3,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.34 : 12,158.69 = 2,557.20 : x
  2. Step 2: Convert to fraction form
    8,105.34/12,158.69 = 2,557.20/x
  3. Step 3: Cross multiply
    8,105.34x = 12,158.69 × 2,557.20
  4. Step 4: Simplify right side
    8,105.34x = 31,092,157.46
  5. Step 5: Solve for x
    x = 31,092,157.46/8,105.34
  6. Step 6: Final answer
    x = 3,836.01

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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.