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Finding the Fourth Proportional to 8,884.49, 13,306.68 and 6,894.21

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Solution

The fourth proportional to 8,884.49, 13,306.68 and 6,894.21 is: 10,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.49 : 13,306.68 = 6,894.21 : x
  2. Step 2: Convert to fraction form
    8,884.49/13,306.68 = 6,894.21/x
  3. Step 3: Cross multiply
    8,884.49x = 13,306.68 × 6,894.21
  4. Step 4: Simplify right side
    8,884.49x = 91,739,096.22
  5. Step 5: Solve for x
    x = 91,739,096.22/8,884.49
  6. Step 6: Final answer
    x = 10,325.76

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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.