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Finding the Fourth Proportional to 8,493.41, 11,720.75 and 4,716.38

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Solution

The fourth proportional to 8,493.41, 11,720.75 and 4,716.38 is: 6,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.41 : 11,720.75 = 4,716.38 : x
  2. Step 2: Convert to fraction form
    8,493.41/11,720.75 = 4,716.38/x
  3. Step 3: Cross multiply
    8,493.41x = 11,720.75 × 4,716.38
  4. Step 4: Simplify right side
    8,493.41x = 55,279,477.21
  5. Step 5: Solve for x
    x = 55,279,477.21/8,493.41
  6. Step 6: Final answer
    x = 6,508.52

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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.