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Finding the Fourth Proportional to 7,166.19, 9,887.63 and 4,180.33

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Solution

The fourth proportional to 7,166.19, 9,887.63 and 4,180.33 is: 5,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.19 : 9,887.63 = 4,180.33 : x
  2. Step 2: Convert to fraction form
    7,166.19/9,887.63 = 4,180.33/x
  3. Step 3: Cross multiply
    7,166.19x = 9,887.63 × 4,180.33
  4. Step 4: Simplify right side
    7,166.19x = 41,333,556.32
  5. Step 5: Solve for x
    x = 41,333,556.32/7,166.19
  6. Step 6: Final answer
    x = 5,767.86

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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.