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Finding the Fourth Proportional to 8,493, 11,720.50 and 4,767.24

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Solution

The fourth proportional to 8,493, 11,720.50 and 4,767.24 is: 6,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493 : 11,720.50 = 4,767.24 : x
  2. Step 2: Convert to fraction form
    8,493/11,720.50 = 4,767.24/x
  3. Step 3: Cross multiply
    8,493x = 11,720.50 × 4,767.24
  4. Step 4: Simplify right side
    8,493x = 55,874,436.42
  5. Step 5: Solve for x
    x = 55,874,436.42/8,493
  6. Step 6: Final answer
    x = 6,578.88

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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.