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Finding the Fourth Proportional to 6,964.86, 10,448.25 and 2,349.18

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Solution

The fourth proportional to 6,964.86, 10,448.25 and 2,349.18 is: 3,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.86 : 10,448.25 = 2,349.18 : x
  2. Step 2: Convert to fraction form
    6,964.86/10,448.25 = 2,349.18/x
  3. Step 3: Cross multiply
    6,964.86x = 10,448.25 × 2,349.18
  4. Step 4: Simplify right side
    6,964.86x = 24,544,819.94
  5. Step 5: Solve for x
    x = 24,544,819.94/6,964.86
  6. Step 6: Final answer
    x = 3,524.09

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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.