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Finding the Fourth Proportional to 10,989.92, 16,484.16 and 5,147.84

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Solution

The fourth proportional to 10,989.92, 16,484.16 and 5,147.84 is: 7,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.92 : 16,484.16 = 5,147.84 : x
  2. Step 2: Convert to fraction form
    10,989.92/16,484.16 = 5,147.84/x
  3. Step 3: Cross multiply
    10,989.92x = 16,484.16 × 5,147.84
  4. Step 4: Simplify right side
    10,989.92x = 84,857,818.21
  5. Step 5: Solve for x
    x = 84,857,818.21/10,989.92
  6. Step 6: Final answer
    x = 7,721.42

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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.