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Finding the Fourth Proportional to 6,812.90, 10,219.35 and 2,914.58

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Solution

The fourth proportional to 6,812.90, 10,219.35 and 2,914.58 is: 4,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.90 : 10,219.35 = 2,914.58 : x
  2. Step 2: Convert to fraction form
    6,812.90/10,219.35 = 2,914.58/x
  3. Step 3: Cross multiply
    6,812.90x = 10,219.35 × 2,914.58
  4. Step 4: Simplify right side
    6,812.90x = 29,785,062.03
  5. Step 5: Solve for x
    x = 29,785,062.03/6,812.90
  6. Step 6: Final answer
    x = 4,371.87

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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.