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Finding the Fourth Proportional to 7,500.96, 11,249.64 and 3,114.24

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Solution

The fourth proportional to 7,500.96, 11,249.64 and 3,114.24 is: 4,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.96 : 11,249.64 = 3,114.24 : x
  2. Step 2: Convert to fraction form
    7,500.96/11,249.64 = 3,114.24/x
  3. Step 3: Cross multiply
    7,500.96x = 11,249.64 × 3,114.24
  4. Step 4: Simplify right side
    7,500.96x = 35,034,078.87
  5. Step 5: Solve for x
    x = 35,034,078.87/7,500.96
  6. Step 6: Final answer
    x = 4,670.61

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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.