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Finding the Fourth Proportional to 6,994.28, 10,491.44 and 2,834.36

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Solution

The fourth proportional to 6,994.28, 10,491.44 and 2,834.36 is: 4,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.28 : 10,491.44 = 2,834.36 : x
  2. Step 2: Convert to fraction form
    6,994.28/10,491.44 = 2,834.36/x
  3. Step 3: Cross multiply
    6,994.28x = 10,491.44 × 2,834.36
  4. Step 4: Simplify right side
    6,994.28x = 29,736,551.19
  5. Step 5: Solve for x
    x = 29,736,551.19/6,994.28
  6. Step 6: Final answer
    x = 4,251.56

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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.