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Finding the Fourth Proportional to 8,230.57, 11,357.36 and 4,645.21

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Solution

The fourth proportional to 8,230.57, 11,357.36 and 4,645.21 is: 6,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.57 : 11,357.36 = 4,645.21 : x
  2. Step 2: Convert to fraction form
    8,230.57/11,357.36 = 4,645.21/x
  3. Step 3: Cross multiply
    8,230.57x = 11,357.36 × 4,645.21
  4. Step 4: Simplify right side
    8,230.57x = 52,757,293.85
  5. Step 5: Solve for x
    x = 52,757,293.85/8,230.57
  6. Step 6: Final answer
    x = 6,409.92

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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.