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Finding the Fourth Proportional to 8,292.33, 12,442.82 and 3,674.25

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Solution

The fourth proportional to 8,292.33, 12,442.82 and 3,674.25 is: 5,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.33 : 12,442.82 = 3,674.25 : x
  2. Step 2: Convert to fraction form
    8,292.33/12,442.82 = 3,674.25/x
  3. Step 3: Cross multiply
    8,292.33x = 12,442.82 × 3,674.25
  4. Step 4: Simplify right side
    8,292.33x = 45,718,031.39
  5. Step 5: Solve for x
    x = 45,718,031.39/8,292.33
  6. Step 6: Final answer
    x = 5,513.29

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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.