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Finding the Fourth Proportional to 7,441.38, 10,269.41 and 4,084.31

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Solution

The fourth proportional to 7,441.38, 10,269.41 and 4,084.31 is: 5,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.38 : 10,269.41 = 4,084.31 : x
  2. Step 2: Convert to fraction form
    7,441.38/10,269.41 = 4,084.31/x
  3. Step 3: Cross multiply
    7,441.38x = 10,269.41 × 4,084.31
  4. Step 4: Simplify right side
    7,441.38x = 41,943,459.21
  5. Step 5: Solve for x
    x = 41,943,459.21/7,441.38
  6. Step 6: Final answer
    x = 5,636.52

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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.