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Finding the Fourth Proportional to 6,953.14, 10,424.32 and 3,440.73

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Solution

The fourth proportional to 6,953.14, 10,424.32 and 3,440.73 is: 5,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.14 : 10,424.32 = 3,440.73 : x
  2. Step 2: Convert to fraction form
    6,953.14/10,424.32 = 3,440.73/x
  3. Step 3: Cross multiply
    6,953.14x = 10,424.32 × 3,440.73
  4. Step 4: Simplify right side
    6,953.14x = 35,867,252.08
  5. Step 5: Solve for x
    x = 35,867,252.08/6,953.14
  6. Step 6: Final answer
    x = 5,158.42

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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.