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Finding the Fourth Proportional to 7,166.22, 9,890.86 and 4,182.33

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Solution

The fourth proportional to 7,166.22, 9,890.86 and 4,182.33 is: 5,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.22 : 9,890.86 = 4,182.33 : x
  2. Step 2: Convert to fraction form
    7,166.22/9,890.86 = 4,182.33/x
  3. Step 3: Cross multiply
    7,166.22x = 9,890.86 × 4,182.33
  4. Step 4: Simplify right side
    7,166.22x = 41,366,874.98
  5. Step 5: Solve for x
    x = 41,366,874.98/7,166.22
  6. Step 6: Final answer
    x = 5,772.48

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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.