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Finding the Fourth Proportional to 7,338.64, 10,127.24 and 3,981.44

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Solution

The fourth proportional to 7,338.64, 10,127.24 and 3,981.44 is: 5,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.64 : 10,127.24 = 3,981.44 : x
  2. Step 2: Convert to fraction form
    7,338.64/10,127.24 = 3,981.44/x
  3. Step 3: Cross multiply
    7,338.64x = 10,127.24 × 3,981.44
  4. Step 4: Simplify right side
    7,338.64x = 40,320,998.43
  5. Step 5: Solve for x
    x = 40,320,998.43/7,338.64
  6. Step 6: Final answer
    x = 5,494.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.