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Finding the Fourth Proportional to 7,639.75, 10,540.49 and 4,282.10

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Solution

The fourth proportional to 7,639.75, 10,540.49 and 4,282.10 is: 5,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.75 : 10,540.49 = 4,282.10 : x
  2. Step 2: Convert to fraction form
    7,639.75/10,540.49 = 4,282.10/x
  3. Step 3: Cross multiply
    7,639.75x = 10,540.49 × 4,282.10
  4. Step 4: Simplify right side
    7,639.75x = 45,135,358.12
  5. Step 5: Solve for x
    x = 45,135,358.12/7,639.75
  6. Step 6: Final answer
    x = 5,907.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.