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Finding the Fourth Proportional to 8,827.11, 13,234.37 and 4,144.50

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Solution

The fourth proportional to 8,827.11, 13,234.37 and 4,144.50 is: 6,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.11 : 13,234.37 = 4,144.50 : x
  2. Step 2: Convert to fraction form
    8,827.11/13,234.37 = 4,144.50/x
  3. Step 3: Cross multiply
    8,827.11x = 13,234.37 × 4,144.50
  4. Step 4: Simplify right side
    8,827.11x = 54,849,825.74
  5. Step 5: Solve for x
    x = 54,849,825.74/8,827.11
  6. Step 6: Final answer
    x = 6,213.79

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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.