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Finding the Fourth Proportional to 7,441.90, 10,269.68 and 4,084.75

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Solution

The fourth proportional to 7,441.90, 10,269.68 and 4,084.75 is: 5,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.90 : 10,269.68 = 4,084.75 : x
  2. Step 2: Convert to fraction form
    7,441.90/10,269.68 = 4,084.75/x
  3. Step 3: Cross multiply
    7,441.90x = 10,269.68 × 4,084.75
  4. Step 4: Simplify right side
    7,441.90x = 41,949,075.38
  5. Step 5: Solve for x
    x = 41,949,075.38/7,441.90
  6. Step 6: Final answer
    x = 5,636.88

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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.