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Finding the Fourth Proportional to 7,150.86, 10,729.26 and 3,860.10

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Solution

The fourth proportional to 7,150.86, 10,729.26 and 3,860.10 is: 5,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.86 : 10,729.26 = 3,860.10 : x
  2. Step 2: Convert to fraction form
    7,150.86/10,729.26 = 3,860.10/x
  3. Step 3: Cross multiply
    7,150.86x = 10,729.26 × 3,860.10
  4. Step 4: Simplify right side
    7,150.86x = 41,416,016.53
  5. Step 5: Solve for x
    x = 41,416,016.53/7,150.86
  6. Step 6: Final answer
    x = 5,791.75

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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.