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Finding the Fourth Proportional to 11,952.45, 16,494.77 and 6,575.11

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Solution

The fourth proportional to 11,952.45, 16,494.77 and 6,575.11 is: 9,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.45 : 16,494.77 = 6,575.11 : x
  2. Step 2: Convert to fraction form
    11,952.45/16,494.77 = 6,575.11/x
  3. Step 3: Cross multiply
    11,952.45x = 16,494.77 × 6,575.11
  4. Step 4: Simplify right side
    11,952.45x = 108,454,844.70
  5. Step 5: Solve for x
    x = 108,454,844.70/11,952.45
  6. Step 6: Final answer
    x = 9,073.86

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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.