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Finding the Fourth Proportional to 11,514.66, 17,267.33 and 4,493.68

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Solution

The fourth proportional to 11,514.66, 17,267.33 and 4,493.68 is: 6,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.66 : 17,267.33 = 4,493.68 : x
  2. Step 2: Convert to fraction form
    11,514.66/17,267.33 = 4,493.68/x
  3. Step 3: Cross multiply
    11,514.66x = 17,267.33 × 4,493.68
  4. Step 4: Simplify right side
    11,514.66x = 77,593,798.26
  5. Step 5: Solve for x
    x = 77,593,798.26/11,514.66
  6. Step 6: Final answer
    x = 6,738.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.