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Finding the Fourth Proportional to 7,924.89, 11,869.82 and 5,420.15

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Solution

The fourth proportional to 7,924.89, 11,869.82 and 5,420.15 is: 8,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.89 : 11,869.82 = 5,420.15 : x
  2. Step 2: Convert to fraction form
    7,924.89/11,869.82 = 5,420.15/x
  3. Step 3: Cross multiply
    7,924.89x = 11,869.82 × 5,420.15
  4. Step 4: Simplify right side
    7,924.89x = 64,336,183.26
  5. Step 5: Solve for x
    x = 64,336,183.26/7,924.89
  6. Step 6: Final answer
    x = 8,118.24

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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.