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Finding the Fourth Proportional to 7,847.76, 11,771.62 and 2,004.36

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Solution

The fourth proportional to 7,847.76, 11,771.62 and 2,004.36 is: 3,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.76 : 11,771.62 = 2,004.36 : x
  2. Step 2: Convert to fraction form
    7,847.76/11,771.62 = 2,004.36/x
  3. Step 3: Cross multiply
    7,847.76x = 11,771.62 × 2,004.36
  4. Step 4: Simplify right side
    7,847.76x = 23,594,564.26
  5. Step 5: Solve for x
    x = 23,594,564.26/7,847.76
  6. Step 6: Final answer
    x = 3,006.53

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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.