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Finding the Fourth Proportional to 11,151.54, 16,727.28 and 6,153.68

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Solution

The fourth proportional to 11,151.54, 16,727.28 and 6,153.68 is: 9,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.54 : 16,727.28 = 6,153.68 : x
  2. Step 2: Convert to fraction form
    11,151.54/16,727.28 = 6,153.68/x
  3. Step 3: Cross multiply
    11,151.54x = 16,727.28 × 6,153.68
  4. Step 4: Simplify right side
    11,151.54x = 102,934,244.75
  5. Step 5: Solve for x
    x = 102,934,244.75/11,151.54
  6. Step 6: Final answer
    x = 9,230.50

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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.