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Finding the Fourth Proportional to 11,181.50, 15,424.05 and 6,982.46

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Solution

The fourth proportional to 11,181.50, 15,424.05 and 6,982.46 is: 9,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.50 : 15,424.05 = 6,982.46 : x
  2. Step 2: Convert to fraction form
    11,181.50/15,424.05 = 6,982.46/x
  3. Step 3: Cross multiply
    11,181.50x = 15,424.05 × 6,982.46
  4. Step 4: Simplify right side
    11,181.50x = 107,697,812.16
  5. Step 5: Solve for x
    x = 107,697,812.16/11,181.50
  6. Step 6: Final answer
    x = 9,631.79

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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.