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Finding the Fourth Proportional to 8,148, 11,244.48 and 4,422.24

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Solution

The fourth proportional to 8,148, 11,244.48 and 4,422.24 is: 6,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148 : 11,244.48 = 4,422.24 : x
  2. Step 2: Convert to fraction form
    8,148/11,244.48 = 4,422.24/x
  3. Step 3: Cross multiply
    8,148x = 11,244.48 × 4,422.24
  4. Step 4: Simplify right side
    8,148x = 49,725,789.24
  5. Step 5: Solve for x
    x = 49,725,789.24/8,148
  6. Step 6: Final answer
    x = 6,102.82

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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.