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Finding the Fourth Proportional to 6,953.62, 10,431.56 and 2,272.27

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Solution

The fourth proportional to 6,953.62, 10,431.56 and 2,272.27 is: 3,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.62 : 10,431.56 = 2,272.27 : x
  2. Step 2: Convert to fraction form
    6,953.62/10,431.56 = 2,272.27/x
  3. Step 3: Cross multiply
    6,953.62x = 10,431.56 × 2,272.27
  4. Step 4: Simplify right side
    6,953.62x = 23,703,257.32
  5. Step 5: Solve for x
    x = 23,703,257.32/6,953.62
  6. Step 6: Final answer
    x = 3,408.77

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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.