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Finding the Fourth Proportional to 7,667.69, 11,503.96 and 2,737.22

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Solution

The fourth proportional to 7,667.69, 11,503.96 and 2,737.22 is: 4,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.69 : 11,503.96 = 2,737.22 : x
  2. Step 2: Convert to fraction form
    7,667.69/11,503.96 = 2,737.22/x
  3. Step 3: Cross multiply
    7,667.69x = 11,503.96 × 2,737.22
  4. Step 4: Simplify right side
    7,667.69x = 31,488,863.57
  5. Step 5: Solve for x
    x = 31,488,863.57/7,667.69
  6. Step 6: Final answer
    x = 4,106.70

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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.