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Finding the Fourth Proportional to 8,250.50, 11,386.24 and 4,524.50

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Solution

The fourth proportional to 8,250.50, 11,386.24 and 4,524.50 is: 6,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.50 : 11,386.24 = 4,524.50 : x
  2. Step 2: Convert to fraction form
    8,250.50/11,386.24 = 4,524.50/x
  3. Step 3: Cross multiply
    8,250.50x = 11,386.24 × 4,524.50
  4. Step 4: Simplify right side
    8,250.50x = 51,517,042.88
  5. Step 5: Solve for x
    x = 51,517,042.88/8,250.50
  6. Step 6: Final answer
    x = 6,244.11

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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.