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Finding the Fourth Proportional to 8,371.52, 11,553.60 and 5,349.40

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Solution

The fourth proportional to 8,371.52, 11,553.60 and 5,349.40 is: 7,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.52 : 11,553.60 = 5,349.40 : x
  2. Step 2: Convert to fraction form
    8,371.52/11,553.60 = 5,349.40/x
  3. Step 3: Cross multiply
    8,371.52x = 11,553.60 × 5,349.40
  4. Step 4: Simplify right side
    8,371.52x = 61,804,770.07
  5. Step 5: Solve for x
    x = 61,804,770.07/8,371.52
  6. Step 6: Final answer
    x = 7,382.74

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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.