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Finding the Fourth Proportional to 6,774.86, 10,163.96 and 2,332.60

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Solution

The fourth proportional to 6,774.86, 10,163.96 and 2,332.60 is: 3,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.86 : 10,163.96 = 2,332.60 : x
  2. Step 2: Convert to fraction form
    6,774.86/10,163.96 = 2,332.60/x
  3. Step 3: Cross multiply
    6,774.86x = 10,163.96 × 2,332.60
  4. Step 4: Simplify right side
    6,774.86x = 23,708,453.10
  5. Step 5: Solve for x
    x = 23,708,453.10/6,774.86
  6. Step 6: Final answer
    x = 3,499.47

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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.