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Finding the Fourth Proportional to 11,691.35, 17,530.87 and 7,994.64

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Solution

The fourth proportional to 11,691.35, 17,530.87 and 7,994.64 is: 11,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.35 : 17,530.87 = 7,994.64 : x
  2. Step 2: Convert to fraction form
    11,691.35/17,530.87 = 7,994.64/x
  3. Step 3: Cross multiply
    11,691.35x = 17,530.87 × 7,994.64
  4. Step 4: Simplify right side
    11,691.35x = 140,152,994.54
  5. Step 5: Solve for x
    x = 140,152,994.54/11,691.35
  6. Step 6: Final answer
    x = 11,987.75

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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.