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Finding the Fourth Proportional to 8,238.40, 12,357.64 and 2,395.04

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Solution

The fourth proportional to 8,238.40, 12,357.64 and 2,395.04 is: 3,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.40 : 12,357.64 = 2,395.04 : x
  2. Step 2: Convert to fraction form
    8,238.40/12,357.64 = 2,395.04/x
  3. Step 3: Cross multiply
    8,238.40x = 12,357.64 × 2,395.04
  4. Step 4: Simplify right side
    8,238.40x = 29,597,042.11
  5. Step 5: Solve for x
    x = 29,597,042.11/8,238.40
  6. Step 6: Final answer
    x = 3,592.57

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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.