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Finding the Fourth Proportional to 7,186.38, 9,916.83 and 4,202.52

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Solution

The fourth proportional to 7,186.38, 9,916.83 and 4,202.52 is: 5,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.38 : 9,916.83 = 4,202.52 : x
  2. Step 2: Convert to fraction form
    7,186.38/9,916.83 = 4,202.52/x
  3. Step 3: Cross multiply
    7,186.38x = 9,916.83 × 4,202.52
  4. Step 4: Simplify right side
    7,186.38x = 41,675,676.41
  5. Step 5: Solve for x
    x = 41,675,676.41/7,186.38
  6. Step 6: Final answer
    x = 5,799.26

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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.