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Finding the Fourth Proportional to 8,823.20, 13,234.08 and 2,249.12

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Solution

The fourth proportional to 8,823.20, 13,234.08 and 2,249.12 is: 3,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.20 : 13,234.08 = 2,249.12 : x
  2. Step 2: Convert to fraction form
    8,823.20/13,234.08 = 2,249.12/x
  3. Step 3: Cross multiply
    8,823.20x = 13,234.08 × 2,249.12
  4. Step 4: Simplify right side
    8,823.20x = 29,765,034.01
  5. Step 5: Solve for x
    x = 29,765,034.01/8,823.20
  6. Step 6: Final answer
    x = 3,373.50

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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.