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Finding the Fourth Proportional to 8,494.05, 11,719.49 and 4,767.97

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Solution

The fourth proportional to 8,494.05, 11,719.49 and 4,767.97 is: 6,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.05 : 11,719.49 = 4,767.97 : x
  2. Step 2: Convert to fraction form
    8,494.05/11,719.49 = 4,767.97/x
  3. Step 3: Cross multiply
    8,494.05x = 11,719.49 × 4,767.97
  4. Step 4: Simplify right side
    8,494.05x = 55,878,152.90
  5. Step 5: Solve for x
    x = 55,878,152.90/8,494.05
  6. Step 6: Final answer
    x = 6,578.51

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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.