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Finding the Fourth Proportional to 7,884.14, 11,834.40 and 5,806.49

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Solution

The fourth proportional to 7,884.14, 11,834.40 and 5,806.49 is: 8,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.14 : 11,834.40 = 5,806.49 : x
  2. Step 2: Convert to fraction form
    7,884.14/11,834.40 = 5,806.49/x
  3. Step 3: Cross multiply
    7,884.14x = 11,834.40 × 5,806.49
  4. Step 4: Simplify right side
    7,884.14x = 68,716,287.86
  5. Step 5: Solve for x
    x = 68,716,287.86/7,884.14
  6. Step 6: Final answer
    x = 8,715.77

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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.