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Finding the Fourth Proportional to 7,540.47, 11,313.41 and 3,843.63

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Solution

The fourth proportional to 7,540.47, 11,313.41 and 3,843.63 is: 5,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.47 : 11,313.41 = 3,843.63 : x
  2. Step 2: Convert to fraction form
    7,540.47/11,313.41 = 3,843.63/x
  3. Step 3: Cross multiply
    7,540.47x = 11,313.41 × 3,843.63
  4. Step 4: Simplify right side
    7,540.47x = 43,484,542.86
  5. Step 5: Solve for x
    x = 43,484,542.86/7,540.47
  6. Step 6: Final answer
    x = 5,766.82

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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.