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Finding the Fourth Proportional to 10,571.63, 15,860.07 and 3,997.85

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Solution

The fourth proportional to 10,571.63, 15,860.07 and 3,997.85 is: 5,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.63 : 15,860.07 = 3,997.85 : x
  2. Step 2: Convert to fraction form
    10,571.63/15,860.07 = 3,997.85/x
  3. Step 3: Cross multiply
    10,571.63x = 15,860.07 × 3,997.85
  4. Step 4: Simplify right side
    10,571.63x = 63,406,101.55
  5. Step 5: Solve for x
    x = 63,406,101.55/10,571.63
  6. Step 6: Final answer
    x = 5,997.76

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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.