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Finding the Fourth Proportional to 10,797.63, 16,170.31 and 5,237.20

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Solution

The fourth proportional to 10,797.63, 16,170.31 and 5,237.20 is: 7,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.63 : 16,170.31 = 5,237.20 : x
  2. Step 2: Convert to fraction form
    10,797.63/16,170.31 = 5,237.20/x
  3. Step 3: Cross multiply
    10,797.63x = 16,170.31 × 5,237.20
  4. Step 4: Simplify right side
    10,797.63x = 84,687,147.53
  5. Step 5: Solve for x
    x = 84,687,147.53/10,797.63
  6. Step 6: Final answer
    x = 7,843.12

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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.