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Finding the Fourth Proportional to 8,269.25, 12,403.94 and 2,425.95

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Solution

The fourth proportional to 8,269.25, 12,403.94 and 2,425.95 is: 3,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.25 : 12,403.94 = 2,425.95 : x
  2. Step 2: Convert to fraction form
    8,269.25/12,403.94 = 2,425.95/x
  3. Step 3: Cross multiply
    8,269.25x = 12,403.94 × 2,425.95
  4. Step 4: Simplify right side
    8,269.25x = 30,091,338.24
  5. Step 5: Solve for x
    x = 30,091,338.24/8,269.25
  6. Step 6: Final answer
    x = 3,638.94

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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.