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Finding the Fourth Proportional to 8,443.01, 12,665.23 and 2,203.02

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Solution

The fourth proportional to 8,443.01, 12,665.23 and 2,203.02 is: 3,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.01 : 12,665.23 = 2,203.02 : x
  2. Step 2: Convert to fraction form
    8,443.01/12,665.23 = 2,203.02/x
  3. Step 3: Cross multiply
    8,443.01x = 12,665.23 × 2,203.02
  4. Step 4: Simplify right side
    8,443.01x = 27,901,749.49
  5. Step 5: Solve for x
    x = 27,901,749.49/8,443.01
  6. Step 6: Final answer
    x = 3,304.71

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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.