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Finding the Fourth Proportional to 7,847.35, 11,769.94 and 2,916.30

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Solution

The fourth proportional to 7,847.35, 11,769.94 and 2,916.30 is: 4,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.35 : 11,769.94 = 2,916.30 : x
  2. Step 2: Convert to fraction form
    7,847.35/11,769.94 = 2,916.30/x
  3. Step 3: Cross multiply
    7,847.35x = 11,769.94 × 2,916.30
  4. Step 4: Simplify right side
    7,847.35x = 34,324,723.80
  5. Step 5: Solve for x
    x = 34,324,723.80/7,847.35
  6. Step 6: Final answer
    x = 4,374.05

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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.