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Finding the Fourth Proportional to 11,092.96, 16,543.22 and 9,460

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Solution

The fourth proportional to 11,092.96, 16,543.22 and 9,460 is: 14,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.96 : 16,543.22 = 9,460 : x
  2. Step 2: Convert to fraction form
    11,092.96/16,543.22 = 9,460/x
  3. Step 3: Cross multiply
    11,092.96x = 16,543.22 × 9,460
  4. Step 4: Simplify right side
    11,092.96x = 156,498,861.20
  5. Step 5: Solve for x
    x = 156,498,861.20/11,092.96
  6. Step 6: Final answer
    x = 14,107.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.