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Finding the Fourth Proportional to 10,989.42, 16,484.09 and 3,969.43

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Solution

The fourth proportional to 10,989.42, 16,484.09 and 3,969.43 is: 5,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.42 : 16,484.09 = 3,969.43 : x
  2. Step 2: Convert to fraction form
    10,989.42/16,484.09 = 3,969.43/x
  3. Step 3: Cross multiply
    10,989.42x = 16,484.09 × 3,969.43
  4. Step 4: Simplify right side
    10,989.42x = 65,432,473.03
  5. Step 5: Solve for x
    x = 65,432,473.03/10,989.42
  6. Step 6: Final answer
    x = 5,954.13

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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.