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Finding the Fourth Proportional to 8,193.52, 12,292.32 and 3,511.22

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Solution

The fourth proportional to 8,193.52, 12,292.32 and 3,511.22 is: 5,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.52 : 12,292.32 = 3,511.22 : x
  2. Step 2: Convert to fraction form
    8,193.52/12,292.32 = 3,511.22/x
  3. Step 3: Cross multiply
    8,193.52x = 12,292.32 × 3,511.22
  4. Step 4: Simplify right side
    8,193.52x = 43,160,991.54
  5. Step 5: Solve for x
    x = 43,160,991.54/8,193.52
  6. Step 6: Final answer
    x = 5,267.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.