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Finding the Fourth Proportional to 8,225.78, 12,339.48 and 2,382.26

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Solution

The fourth proportional to 8,225.78, 12,339.48 and 2,382.26 is: 3,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.78 : 12,339.48 = 2,382.26 : x
  2. Step 2: Convert to fraction form
    8,225.78/12,339.48 = 2,382.26/x
  3. Step 3: Cross multiply
    8,225.78x = 12,339.48 × 2,382.26
  4. Step 4: Simplify right side
    8,225.78x = 29,395,849.62
  5. Step 5: Solve for x
    x = 29,395,849.62/8,225.78
  6. Step 6: Final answer
    x = 3,573.62

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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.