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Finding the Fourth Proportional to 8,148.35, 11,244.73 and 4,422.35

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Solution

The fourth proportional to 8,148.35, 11,244.73 and 4,422.35 is: 6,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.35 : 11,244.73 = 4,422.35 : x
  2. Step 2: Convert to fraction form
    8,148.35/11,244.73 = 4,422.35/x
  3. Step 3: Cross multiply
    8,148.35x = 11,244.73 × 4,422.35
  4. Step 4: Simplify right side
    8,148.35x = 49,728,131.72
  5. Step 5: Solve for x
    x = 49,728,131.72/8,148.35
  6. Step 6: Final answer
    x = 6,102.85

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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.