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Finding the Fourth Proportional to 7,884.29, 11,806.97 and 5,102.42

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Solution

The fourth proportional to 7,884.29, 11,806.97 and 5,102.42 is: 7,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.29 : 11,806.97 = 5,102.42 : x
  2. Step 2: Convert to fraction form
    7,884.29/11,806.97 = 5,102.42/x
  3. Step 3: Cross multiply
    7,884.29x = 11,806.97 × 5,102.42
  4. Step 4: Simplify right side
    7,884.29x = 60,244,035.32
  5. Step 5: Solve for x
    x = 60,244,035.32/7,884.29
  6. Step 6: Final answer
    x = 7,641.02

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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.