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Finding the Fourth Proportional to 8,155.78, 12,238.31 and 3,475.30

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Solution

The fourth proportional to 8,155.78, 12,238.31 and 3,475.30 is: 5,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.78 : 12,238.31 = 3,475.30 : x
  2. Step 2: Convert to fraction form
    8,155.78/12,238.31 = 3,475.30/x
  3. Step 3: Cross multiply
    8,155.78x = 12,238.31 × 3,475.30
  4. Step 4: Simplify right side
    8,155.78x = 42,531,720.17
  5. Step 5: Solve for x
    x = 42,531,720.17/8,155.78
  6. Step 6: Final answer
    x = 5,214.92

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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.