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Finding the Fourth Proportional to 8,284.10, 12,426.95 and 2,361.24

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Solution

The fourth proportional to 8,284.10, 12,426.95 and 2,361.24 is: 3,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.10 : 12,426.95 = 2,361.24 : x
  2. Step 2: Convert to fraction form
    8,284.10/12,426.95 = 2,361.24/x
  3. Step 3: Cross multiply
    8,284.10x = 12,426.95 × 2,361.24
  4. Step 4: Simplify right side
    8,284.10x = 29,342,999.61
  5. Step 5: Solve for x
    x = 29,342,999.61/8,284.10
  6. Step 6: Final answer
    x = 3,542.09

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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.