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Finding the Fourth Proportional to 8,235.81, 12,354.90 and 2,687.78

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Solution

The fourth proportional to 8,235.81, 12,354.90 and 2,687.78 is: 4,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.81 : 12,354.90 = 2,687.78 : x
  2. Step 2: Convert to fraction form
    8,235.81/12,354.90 = 2,687.78/x
  3. Step 3: Cross multiply
    8,235.81x = 12,354.90 × 2,687.78
  4. Step 4: Simplify right side
    8,235.81x = 33,207,253.12
  5. Step 5: Solve for x
    x = 33,207,253.12/8,235.81
  6. Step 6: Final answer
    x = 4,032.06

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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.