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Finding the Fourth Proportional to 7,224.03, 10,836.45 and 2,029.50

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Solution

The fourth proportional to 7,224.03, 10,836.45 and 2,029.50 is: 3,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.03 : 10,836.45 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    7,224.03/10,836.45 = 2,029.50/x
  3. Step 3: Cross multiply
    7,224.03x = 10,836.45 × 2,029.50
  4. Step 4: Simplify right side
    7,224.03x = 21,992,575.28
  5. Step 5: Solve for x
    x = 21,992,575.28/7,224.03
  6. Step 6: Final answer
    x = 3,044.36

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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.