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Finding the Fourth Proportional to 8,283.38, 11,431.54 and 4,747.18

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Solution

The fourth proportional to 8,283.38, 11,431.54 and 4,747.18 is: 6,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.38 : 11,431.54 = 4,747.18 : x
  2. Step 2: Convert to fraction form
    8,283.38/11,431.54 = 4,747.18/x
  3. Step 3: Cross multiply
    8,283.38x = 11,431.54 × 4,747.18
  4. Step 4: Simplify right side
    8,283.38x = 54,267,578.06
  5. Step 5: Solve for x
    x = 54,267,578.06/8,283.38
  6. Step 6: Final answer
    x = 6,551.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.