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Finding the Fourth Proportional to 8,178.62, 12,265.87 and 2,335.26

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Solution

The fourth proportional to 8,178.62, 12,265.87 and 2,335.26 is: 3,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.62 : 12,265.87 = 2,335.26 : x
  2. Step 2: Convert to fraction form
    8,178.62/12,265.87 = 2,335.26/x
  3. Step 3: Cross multiply
    8,178.62x = 12,265.87 × 2,335.26
  4. Step 4: Simplify right side
    8,178.62x = 28,643,995.58
  5. Step 5: Solve for x
    x = 28,643,995.58/8,178.62
  6. Step 6: Final answer
    x = 3,502.30

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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.