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Finding the Fourth Proportional to 7,949, 11,924.06 and 2,683.72

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Solution

The fourth proportional to 7,949, 11,924.06 and 2,683.72 is: 4,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949 : 11,924.06 = 2,683.72 : x
  2. Step 2: Convert to fraction form
    7,949/11,924.06 = 2,683.72/x
  3. Step 3: Cross multiply
    7,949x = 11,924.06 × 2,683.72
  4. Step 4: Simplify right side
    7,949x = 32,000,838.30
  5. Step 5: Solve for x
    x = 32,000,838.30/7,949
  6. Step 6: Final answer
    x = 4,025.77

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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.