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Finding the Fourth Proportional to 7,874.89, 10,868.55 and 5,983.39

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Solution

The fourth proportional to 7,874.89, 10,868.55 and 5,983.39 is: 8,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.89 : 10,868.55 = 5,983.39 : x
  2. Step 2: Convert to fraction form
    7,874.89/10,868.55 = 5,983.39/x
  3. Step 3: Cross multiply
    7,874.89x = 10,868.55 × 5,983.39
  4. Step 4: Simplify right side
    7,874.89x = 65,030,773.38
  5. Step 5: Solve for x
    x = 65,030,773.38/7,874.89
  6. Step 6: Final answer
    x = 8,257.99

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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.