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Finding the Fourth Proportional to 7,847.68, 11,771.55 and 2,004.10

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Solution

The fourth proportional to 7,847.68, 11,771.55 and 2,004.10 is: 3,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.68 : 11,771.55 = 2,004.10 : x
  2. Step 2: Convert to fraction form
    7,847.68/11,771.55 = 2,004.10/x
  3. Step 3: Cross multiply
    7,847.68x = 11,771.55 × 2,004.10
  4. Step 4: Simplify right side
    7,847.68x = 23,591,363.36
  5. Step 5: Solve for x
    x = 23,591,363.36/7,847.68
  6. Step 6: Final answer
    x = 3,006.16

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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.