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Finding the Fourth Proportional to 7,262.09, 10,892.92 and 2,331.71

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Solution

The fourth proportional to 7,262.09, 10,892.92 and 2,331.71 is: 3,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.09 : 10,892.92 = 2,331.71 : x
  2. Step 2: Convert to fraction form
    7,262.09/10,892.92 = 2,331.71/x
  3. Step 3: Cross multiply
    7,262.09x = 10,892.92 × 2,331.71
  4. Step 4: Simplify right side
    7,262.09x = 25,399,118.83
  5. Step 5: Solve for x
    x = 25,399,118.83/7,262.09
  6. Step 6: Final answer
    x = 3,497.49

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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.