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Finding the Fourth Proportional to 11,192.94, 16,793.06 and 5,350

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Solution

The fourth proportional to 11,192.94, 16,793.06 and 5,350 is: 8,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.94 : 16,793.06 = 5,350 : x
  2. Step 2: Convert to fraction form
    11,192.94/16,793.06 = 5,350/x
  3. Step 3: Cross multiply
    11,192.94x = 16,793.06 × 5,350
  4. Step 4: Simplify right side
    11,192.94x = 89,842,871
  5. Step 5: Solve for x
    x = 89,842,871/11,192.94
  6. Step 6: Final answer
    x = 8,026.74

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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.