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Finding the Fourth Proportional to 7,677.92, 11,514.14 and 2,679.02

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Solution

The fourth proportional to 7,677.92, 11,514.14 and 2,679.02 is: 4,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.92 : 11,514.14 = 2,679.02 : x
  2. Step 2: Convert to fraction form
    7,677.92/11,514.14 = 2,679.02/x
  3. Step 3: Cross multiply
    7,677.92x = 11,514.14 × 2,679.02
  4. Step 4: Simplify right side
    7,677.92x = 30,846,611.34
  5. Step 5: Solve for x
    x = 30,846,611.34/7,677.92
  6. Step 6: Final answer
    x = 4,017.57

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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.