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Finding the Fourth Proportional to 10,057.99, 13,879.44 and 5,581.42

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Solution

The fourth proportional to 10,057.99, 13,879.44 and 5,581.42 is: 7,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.99 : 13,879.44 = 5,581.42 : x
  2. Step 2: Convert to fraction form
    10,057.99/13,879.44 = 5,581.42/x
  3. Step 3: Cross multiply
    10,057.99x = 13,879.44 × 5,581.42
  4. Step 4: Simplify right side
    10,057.99x = 77,466,984.00
  5. Step 5: Solve for x
    x = 77,466,984.00/10,057.99
  6. Step 6: Final answer
    x = 7,702.03

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