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Finding the Fourth Proportional to 10,906.92, 16,353.54 and 5,056.02

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Solution

The fourth proportional to 10,906.92, 16,353.54 and 5,056.02 is: 7,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.92 : 16,353.54 = 5,056.02 : x
  2. Step 2: Convert to fraction form
    10,906.92/16,353.54 = 5,056.02/x
  3. Step 3: Cross multiply
    10,906.92x = 16,353.54 × 5,056.02
  4. Step 4: Simplify right side
    10,906.92x = 82,683,825.31
  5. Step 5: Solve for x
    x = 82,683,825.31/10,906.92
  6. Step 6: Final answer
    x = 7,580.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.