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Finding the Fourth Proportional to 7,984.48, 11,967 and 3,600.76

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Solution

The fourth proportional to 7,984.48, 11,967 and 3,600.76 is: 5,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.48 : 11,967 = 3,600.76 : x
  2. Step 2: Convert to fraction form
    7,984.48/11,967 = 3,600.76/x
  3. Step 3: Cross multiply
    7,984.48x = 11,967 × 3,600.76
  4. Step 4: Simplify right side
    7,984.48x = 43,090,294.92
  5. Step 5: Solve for x
    x = 43,090,294.92/7,984.48
  6. Step 6: Final answer
    x = 5,396.76

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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.