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Finding the Fourth Proportional to 5,789.46, 8,663.42 and 5,012.13

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Solution

The fourth proportional to 5,789.46, 8,663.42 and 5,012.13 is: 7,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.46 : 8,663.42 = 5,012.13 : x
  2. Step 2: Convert to fraction form
    5,789.46/8,663.42 = 5,012.13/x
  3. Step 3: Cross multiply
    5,789.46x = 8,663.42 × 5,012.13
  4. Step 4: Simplify right side
    5,789.46x = 43,422,221.56
  5. Step 5: Solve for x
    x = 43,422,221.56/5,789.46
  6. Step 6: Final answer
    x = 7,500.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.