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Finding the Fourth Proportional to 10,561.70, 14,575.09 and 5,845.90

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Solution

The fourth proportional to 10,561.70, 14,575.09 and 5,845.90 is: 8,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.70 : 14,575.09 = 5,845.90 : x
  2. Step 2: Convert to fraction form
    10,561.70/14,575.09 = 5,845.90/x
  3. Step 3: Cross multiply
    10,561.70x = 14,575.09 × 5,845.90
  4. Step 4: Simplify right side
    10,561.70x = 85,204,518.63
  5. Step 5: Solve for x
    x = 85,204,518.63/10,561.70
  6. Step 6: Final answer
    x = 8,067.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.