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Finding the Fourth Proportional to 8,124.92, 11,213.50 and 4,938.28

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Solution

The fourth proportional to 8,124.92, 11,213.50 and 4,938.28 is: 6,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.92 : 11,213.50 = 4,938.28 : x
  2. Step 2: Convert to fraction form
    8,124.92/11,213.50 = 4,938.28/x
  3. Step 3: Cross multiply
    8,124.92x = 11,213.50 × 4,938.28
  4. Step 4: Simplify right side
    8,124.92x = 55,375,402.78
  5. Step 5: Solve for x
    x = 55,375,402.78/8,124.92
  6. Step 6: Final answer
    x = 6,815.50

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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.