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Finding the Fourth Proportional to 7,781.40, 11,672.34 and 2,516.27

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Solution

The fourth proportional to 7,781.40, 11,672.34 and 2,516.27 is: 3,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.40 : 11,672.34 = 2,516.27 : x
  2. Step 2: Convert to fraction form
    7,781.40/11,672.34 = 2,516.27/x
  3. Step 3: Cross multiply
    7,781.40x = 11,672.34 × 2,516.27
  4. Step 4: Simplify right side
    7,781.40x = 29,370,729.79
  5. Step 5: Solve for x
    x = 29,370,729.79/7,781.40
  6. Step 6: Final answer
    x = 3,774.48

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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.