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Finding the Fourth Proportional to 6,919, 10,378.68 and 2,302

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Solution

The fourth proportional to 6,919, 10,378.68 and 2,302 is: 3,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919 : 10,378.68 = 2,302 : x
  2. Step 2: Convert to fraction form
    6,919/10,378.68 = 2,302/x
  3. Step 3: Cross multiply
    6,919x = 10,378.68 × 2,302
  4. Step 4: Simplify right side
    6,919x = 23,891,721.36
  5. Step 5: Solve for x
    x = 23,891,721.36/6,919
  6. Step 6: Final answer
    x = 3,453.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.