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Finding the Fourth Proportional to 10,755.70, 16,135.56 and 4,832.44

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Solution

The fourth proportional to 10,755.70, 16,135.56 and 4,832.44 is: 7,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.70 : 16,135.56 = 4,832.44 : x
  2. Step 2: Convert to fraction form
    10,755.70/16,135.56 = 4,832.44/x
  3. Step 3: Cross multiply
    10,755.70x = 16,135.56 × 4,832.44
  4. Step 4: Simplify right side
    10,755.70x = 77,974,085.23
  5. Step 5: Solve for x
    x = 77,974,085.23/10,755.70
  6. Step 6: Final answer
    x = 7,249.56

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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.