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Finding the Fourth Proportional to 7,871.24, 11,808.89 and 2,940.92

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Solution

The fourth proportional to 7,871.24, 11,808.89 and 2,940.92 is: 4,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.24 : 11,808.89 = 2,940.92 : x
  2. Step 2: Convert to fraction form
    7,871.24/11,808.89 = 2,940.92/x
  3. Step 3: Cross multiply
    7,871.24x = 11,808.89 × 2,940.92
  4. Step 4: Simplify right side
    7,871.24x = 34,729,000.78
  5. Step 5: Solve for x
    x = 34,729,000.78/7,871.24
  6. Step 6: Final answer
    x = 4,412.14

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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.