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Finding the Fourth Proportional to 7,862.74, 11,794.38 and 2,667.94

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Solution

The fourth proportional to 7,862.74, 11,794.38 and 2,667.94 is: 4,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.74 : 11,794.38 = 2,667.94 : x
  2. Step 2: Convert to fraction form
    7,862.74/11,794.38 = 2,667.94/x
  3. Step 3: Cross multiply
    7,862.74x = 11,794.38 × 2,667.94
  4. Step 4: Simplify right side
    7,862.74x = 31,466,658.69
  5. Step 5: Solve for x
    x = 31,466,658.69/7,862.74
  6. Step 6: Final answer
    x = 4,002.00

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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.