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Finding the Fourth Proportional to 8,463.49, 11,682.16 and 5,479.52

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Solution

The fourth proportional to 8,463.49, 11,682.16 and 5,479.52 is: 7,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.49 : 11,682.16 = 5,479.52 : x
  2. Step 2: Convert to fraction form
    8,463.49/11,682.16 = 5,479.52/x
  3. Step 3: Cross multiply
    8,463.49x = 11,682.16 × 5,479.52
  4. Step 4: Simplify right side
    8,463.49x = 64,012,557.25
  5. Step 5: Solve for x
    x = 64,012,557.25/8,463.49
  6. Step 6: Final answer
    x = 7,563.38

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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.