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Finding the Fourth Proportional to 8,284.05, 11,431.89 and 4,747.23

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Solution

The fourth proportional to 8,284.05, 11,431.89 and 4,747.23 is: 6,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.05 : 11,431.89 = 4,747.23 : x
  2. Step 2: Convert to fraction form
    8,284.05/11,431.89 = 4,747.23/x
  3. Step 3: Cross multiply
    8,284.05x = 11,431.89 × 4,747.23
  4. Step 4: Simplify right side
    8,284.05x = 54,269,811.16
  5. Step 5: Solve for x
    x = 54,269,811.16/8,284.05
  6. Step 6: Final answer
    x = 6,551.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.