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Finding the Fourth Proportional to 8,228.44, 11,352.04 and 5,243.76

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Solution

The fourth proportional to 8,228.44, 11,352.04 and 5,243.76 is: 7,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.44 : 11,352.04 = 5,243.76 : x
  2. Step 2: Convert to fraction form
    8,228.44/11,352.04 = 5,243.76/x
  3. Step 3: Cross multiply
    8,228.44x = 11,352.04 × 5,243.76
  4. Step 4: Simplify right side
    8,228.44x = 59,527,373.27
  5. Step 5: Solve for x
    x = 59,527,373.27/8,228.44
  6. Step 6: Final answer
    x = 7,234.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.