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Finding the Fourth Proportional to 7,781.62, 11,667.71 and 3,102.34

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Solution

The fourth proportional to 7,781.62, 11,667.71 and 3,102.34 is: 4,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.62 : 11,667.71 = 3,102.34 : x
  2. Step 2: Convert to fraction form
    7,781.62/11,667.71 = 3,102.34/x
  3. Step 3: Cross multiply
    7,781.62x = 11,667.71 × 3,102.34
  4. Step 4: Simplify right side
    7,781.62x = 36,197,129.59
  5. Step 5: Solve for x
    x = 36,197,129.59/7,781.62
  6. Step 6: Final answer
    x = 4,651.62

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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.