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Finding the Fourth Proportional to 7,892.41, 11,838.60 and 2,049.01

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Solution

The fourth proportional to 7,892.41, 11,838.60 and 2,049.01 is: 3,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.41 : 11,838.60 = 2,049.01 : x
  2. Step 2: Convert to fraction form
    7,892.41/11,838.60 = 2,049.01/x
  3. Step 3: Cross multiply
    7,892.41x = 11,838.60 × 2,049.01
  4. Step 4: Simplify right side
    7,892.41x = 24,257,409.79
  5. Step 5: Solve for x
    x = 24,257,409.79/7,892.41
  6. Step 6: Final answer
    x = 3,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.