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Finding the Fourth Proportional to 7,667.68, 11,502.24 and 2,737.84

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Solution

The fourth proportional to 7,667.68, 11,502.24 and 2,737.84 is: 4,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.68 : 11,502.24 = 2,737.84 : x
  2. Step 2: Convert to fraction form
    7,667.68/11,502.24 = 2,737.84/x
  3. Step 3: Cross multiply
    7,667.68x = 11,502.24 × 2,737.84
  4. Step 4: Simplify right side
    7,667.68x = 31,491,292.76
  5. Step 5: Solve for x
    x = 31,491,292.76/7,667.68
  6. Step 6: Final answer
    x = 4,107.02

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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.