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Finding the Fourth Proportional to 7,180.83, 9,912.25 and 4,197.63

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Solution

The fourth proportional to 7,180.83, 9,912.25 and 4,197.63 is: 5,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.83 : 9,912.25 = 4,197.63 : x
  2. Step 2: Convert to fraction form
    7,180.83/9,912.25 = 4,197.63/x
  3. Step 3: Cross multiply
    7,180.83x = 9,912.25 × 4,197.63
  4. Step 4: Simplify right side
    7,180.83x = 41,607,957.97
  5. Step 5: Solve for x
    x = 41,607,957.97/7,180.83
  6. Step 6: Final answer
    x = 5,794.31

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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.