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Finding the Fourth Proportional to 7,485.86, 11,229.34 and 3,785.52

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Solution

The fourth proportional to 7,485.86, 11,229.34 and 3,785.52 is: 5,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.86 : 11,229.34 = 3,785.52 : x
  2. Step 2: Convert to fraction form
    7,485.86/11,229.34 = 3,785.52/x
  3. Step 3: Cross multiply
    7,485.86x = 11,229.34 × 3,785.52
  4. Step 4: Simplify right side
    7,485.86x = 42,508,891.16
  5. Step 5: Solve for x
    x = 42,508,891.16/7,485.86
  6. Step 6: Final answer
    x = 5,678.56

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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.