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Finding the Fourth Proportional to 8,806.24, 13,211.79 and 7,178.14

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Solution

The fourth proportional to 8,806.24, 13,211.79 and 7,178.14 is: 10,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.24 : 13,211.79 = 7,178.14 : x
  2. Step 2: Convert to fraction form
    8,806.24/13,211.79 = 7,178.14/x
  3. Step 3: Cross multiply
    8,806.24x = 13,211.79 × 7,178.14
  4. Step 4: Simplify right side
    8,806.24x = 94,836,078.27
  5. Step 5: Solve for x
    x = 94,836,078.27/8,806.24
  6. Step 6: Final answer
    x = 10,769.19

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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.