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Finding the Fourth Proportional to 11,708.82, 16,169.01 and 7,524.42

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Solution

The fourth proportional to 11,708.82, 16,169.01 and 7,524.42 is: 10,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.82 : 16,169.01 = 7,524.42 : x
  2. Step 2: Convert to fraction form
    11,708.82/16,169.01 = 7,524.42/x
  3. Step 3: Cross multiply
    11,708.82x = 16,169.01 × 7,524.42
  4. Step 4: Simplify right side
    11,708.82x = 121,662,422.22
  5. Step 5: Solve for x
    x = 121,662,422.22/11,708.82
  6. Step 6: Final answer
    x = 10,390.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.