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Finding the Fourth Proportional to 6,974.30, 10,463.48 and 2,812.16

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Solution

The fourth proportional to 6,974.30, 10,463.48 and 2,812.16 is: 4,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.30 : 10,463.48 = 2,812.16 : x
  2. Step 2: Convert to fraction form
    6,974.30/10,463.48 = 2,812.16/x
  3. Step 3: Cross multiply
    6,974.30x = 10,463.48 × 2,812.16
  4. Step 4: Simplify right side
    6,974.30x = 29,424,913.54
  5. Step 5: Solve for x
    x = 29,424,913.54/6,974.30
  6. Step 6: Final answer
    x = 4,219.05

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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.