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Finding the Fourth Proportional to 8,205.52, 11,324.46 and 5,020.94

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Solution

The fourth proportional to 8,205.52, 11,324.46 and 5,020.94 is: 6,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.52 : 11,324.46 = 5,020.94 : x
  2. Step 2: Convert to fraction form
    8,205.52/11,324.46 = 5,020.94/x
  3. Step 3: Cross multiply
    8,205.52x = 11,324.46 × 5,020.94
  4. Step 4: Simplify right side
    8,205.52x = 56,859,434.19
  5. Step 5: Solve for x
    x = 56,859,434.19/8,205.52
  6. Step 6: Final answer
    x = 6,929.41

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