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Finding the Fourth Proportional to 8,225.94, 12,338.88 and 2,382.54

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Solution

The fourth proportional to 8,225.94, 12,338.88 and 2,382.54 is: 3,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.94 : 12,338.88 = 2,382.54 : x
  2. Step 2: Convert to fraction form
    8,225.94/12,338.88 = 2,382.54/x
  3. Step 3: Cross multiply
    8,225.94x = 12,338.88 × 2,382.54
  4. Step 4: Simplify right side
    8,225.94x = 29,397,875.16
  5. Step 5: Solve for x
    x = 29,397,875.16/8,225.94
  6. Step 6: Final answer
    x = 3,573.80

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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.