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Finding the Fourth Proportional to 8,242.18, 12,367.29 and 3,858.82

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Solution

The fourth proportional to 8,242.18, 12,367.29 and 3,858.82 is: 5,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.18 : 12,367.29 = 3,858.82 : x
  2. Step 2: Convert to fraction form
    8,242.18/12,367.29 = 3,858.82/x
  3. Step 3: Cross multiply
    8,242.18x = 12,367.29 × 3,858.82
  4. Step 4: Simplify right side
    8,242.18x = 47,723,146.00
  5. Step 5: Solve for x
    x = 47,723,146.00/8,242.18
  6. Step 6: Final answer
    x = 5,790.11

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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.