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Finding the Fourth Proportional to 11,053.78, 16,580.52 and 2,733.80

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Solution

The fourth proportional to 11,053.78, 16,580.52 and 2,733.80 is: 4,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.78 : 16,580.52 = 2,733.80 : x
  2. Step 2: Convert to fraction form
    11,053.78/16,580.52 = 2,733.80/x
  3. Step 3: Cross multiply
    11,053.78x = 16,580.52 × 2,733.80
  4. Step 4: Simplify right side
    11,053.78x = 45,327,742.67
  5. Step 5: Solve for x
    x = 45,327,742.67/11,053.78
  6. Step 6: Final answer
    x = 4,100.66

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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.