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Finding the Fourth Proportional to 8,156.62, 12,236.90 and 2,534.12

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Solution

The fourth proportional to 8,156.62, 12,236.90 and 2,534.12 is: 3,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.62 : 12,236.90 = 2,534.12 : x
  2. Step 2: Convert to fraction form
    8,156.62/12,236.90 = 2,534.12/x
  3. Step 3: Cross multiply
    8,156.62x = 12,236.90 × 2,534.12
  4. Step 4: Simplify right side
    8,156.62x = 31,009,699.17
  5. Step 5: Solve for x
    x = 31,009,699.17/8,156.62
  6. Step 6: Final answer
    x = 3,801.78

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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.