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Finding the Fourth Proportional to 7,231.50, 10,846.05 and 2,036.22

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Solution

The fourth proportional to 7,231.50, 10,846.05 and 2,036.22 is: 3,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.50 : 10,846.05 = 2,036.22 : x
  2. Step 2: Convert to fraction form
    7,231.50/10,846.05 = 2,036.22/x
  3. Step 3: Cross multiply
    7,231.50x = 10,846.05 × 2,036.22
  4. Step 4: Simplify right side
    7,231.50x = 22,084,943.93
  5. Step 5: Solve for x
    x = 22,084,943.93/7,231.50
  6. Step 6: Final answer
    x = 3,053.99

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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.