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Finding the Fourth Proportional to 8,232.36, 12,348.87 and 6,855.42

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Solution

The fourth proportional to 8,232.36, 12,348.87 and 6,855.42 is: 10,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.36 : 12,348.87 = 6,855.42 : x
  2. Step 2: Convert to fraction form
    8,232.36/12,348.87 = 6,855.42/x
  3. Step 3: Cross multiply
    8,232.36x = 12,348.87 × 6,855.42
  4. Step 4: Simplify right side
    8,232.36x = 84,656,690.38
  5. Step 5: Solve for x
    x = 84,656,690.38/8,232.36
  6. Step 6: Final answer
    x = 10,283.40

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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.