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Finding the Fourth Proportional to 8,253.34, 11,378.36 and 5,891.38

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Solution

The fourth proportional to 8,253.34, 11,378.36 and 5,891.38 is: 8,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.34 : 11,378.36 = 5,891.38 : x
  2. Step 2: Convert to fraction form
    8,253.34/11,378.36 = 5,891.38/x
  3. Step 3: Cross multiply
    8,253.34x = 11,378.36 × 5,891.38
  4. Step 4: Simplify right side
    8,253.34x = 67,034,242.54
  5. Step 5: Solve for x
    x = 67,034,242.54/8,253.34
  6. Step 6: Final answer
    x = 8,122.07

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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.