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Finding the Fourth Proportional to 8,147.63, 11,243.18 and 4,561.97

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Solution

The fourth proportional to 8,147.63, 11,243.18 and 4,561.97 is: 6,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.63 : 11,243.18 = 4,561.97 : x
  2. Step 2: Convert to fraction form
    8,147.63/11,243.18 = 4,561.97/x
  3. Step 3: Cross multiply
    8,147.63x = 11,243.18 × 4,561.97
  4. Step 4: Simplify right side
    8,147.63x = 51,290,970.84
  5. Step 5: Solve for x
    x = 51,290,970.84/8,147.63
  6. Step 6: Final answer
    x = 6,295.21

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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.