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Finding the Fourth Proportional to 8,203.57, 12,298.37 and 3,759.75

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Solution

The fourth proportional to 8,203.57, 12,298.37 and 3,759.75 is: 5,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.57 : 12,298.37 = 3,759.75 : x
  2. Step 2: Convert to fraction form
    8,203.57/12,298.37 = 3,759.75/x
  3. Step 3: Cross multiply
    8,203.57x = 12,298.37 × 3,759.75
  4. Step 4: Simplify right side
    8,203.57x = 46,238,777.81
  5. Step 5: Solve for x
    x = 46,238,777.81/8,203.57
  6. Step 6: Final answer
    x = 5,636.42

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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.