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Finding the Fourth Proportional to 10,982.26, 15,154.05 and 6,202.54

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Solution

The fourth proportional to 10,982.26, 15,154.05 and 6,202.54 is: 8,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.26 : 15,154.05 = 6,202.54 : x
  2. Step 2: Convert to fraction form
    10,982.26/15,154.05 = 6,202.54/x
  3. Step 3: Cross multiply
    10,982.26x = 15,154.05 × 6,202.54
  4. Step 4: Simplify right side
    10,982.26x = 93,993,601.29
  5. Step 5: Solve for x
    x = 93,993,601.29/10,982.26
  6. Step 6: Final answer
    x = 8,558.68

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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.