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Finding the Fourth Proportional to 8,225.54, 12,340.34 and 2,382.07

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Solution

The fourth proportional to 8,225.54, 12,340.34 and 2,382.07 is: 3,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.54 : 12,340.34 = 2,382.07 : x
  2. Step 2: Convert to fraction form
    8,225.54/12,340.34 = 2,382.07/x
  3. Step 3: Cross multiply
    8,225.54x = 12,340.34 × 2,382.07
  4. Step 4: Simplify right side
    8,225.54x = 29,395,553.70
  5. Step 5: Solve for x
    x = 29,395,553.70/8,225.54
  6. Step 6: Final answer
    x = 3,573.69

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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.