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Finding the Fourth Proportional to 8,464.48, 11,683.92 and 5,812

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Solution

The fourth proportional to 8,464.48, 11,683.92 and 5,812 is: 8,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.48 : 11,683.92 = 5,812 : x
  2. Step 2: Convert to fraction form
    8,464.48/11,683.92 = 5,812/x
  3. Step 3: Cross multiply
    8,464.48x = 11,683.92 × 5,812
  4. Step 4: Simplify right side
    8,464.48x = 67,906,943.04
  5. Step 5: Solve for x
    x = 67,906,943.04/8,464.48
  6. Step 6: Final answer
    x = 8,022.58

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Why These Related Problems?

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