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Finding the Fourth Proportional to 8,982.23, 12,394.94 and 5,205.11

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Solution

The fourth proportional to 8,982.23, 12,394.94 and 5,205.11 is: 7,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.23 : 12,394.94 = 5,205.11 : x
  2. Step 2: Convert to fraction form
    8,982.23/12,394.94 = 5,205.11/x
  3. Step 3: Cross multiply
    8,982.23x = 12,394.94 × 5,205.11
  4. Step 4: Simplify right side
    8,982.23x = 64,516,977.18
  5. Step 5: Solve for x
    x = 64,516,977.18/8,982.23
  6. Step 6: Final answer
    x = 7,182.73

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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.