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Finding the Fourth Proportional to 7,667.42, 11,503.23 and 2,737.56

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Solution

The fourth proportional to 7,667.42, 11,503.23 and 2,737.56 is: 4,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.42 : 11,503.23 = 2,737.56 : x
  2. Step 2: Convert to fraction form
    7,667.42/11,503.23 = 2,737.56/x
  3. Step 3: Cross multiply
    7,667.42x = 11,503.23 × 2,737.56
  4. Step 4: Simplify right side
    7,667.42x = 31,490,768.63
  5. Step 5: Solve for x
    x = 31,490,768.63/7,667.42
  6. Step 6: Final answer
    x = 4,107.09

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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.