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Finding the Fourth Proportional to 8,027.89, 12,037.50 and 3,642.96

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Solution

The fourth proportional to 8,027.89, 12,037.50 and 3,642.96 is: 5,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.89 : 12,037.50 = 3,642.96 : x
  2. Step 2: Convert to fraction form
    8,027.89/12,037.50 = 3,642.96/x
  3. Step 3: Cross multiply
    8,027.89x = 12,037.50 × 3,642.96
  4. Step 4: Simplify right side
    8,027.89x = 43,852,131
  5. Step 5: Solve for x
    x = 43,852,131/8,027.89
  6. Step 6: Final answer
    x = 5,462.47

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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.