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Finding the Fourth Proportional to 8,238.92, 12,352.91 and 5,776.72

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Solution

The fourth proportional to 8,238.92, 12,352.91 and 5,776.72 is: 8,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.92 : 12,352.91 = 5,776.72 : x
  2. Step 2: Convert to fraction form
    8,238.92/12,352.91 = 5,776.72/x
  3. Step 3: Cross multiply
    8,238.92x = 12,352.91 × 5,776.72
  4. Step 4: Simplify right side
    8,238.92x = 71,359,242.49
  5. Step 5: Solve for x
    x = 71,359,242.49/8,238.92
  6. Step 6: Final answer
    x = 8,661.24

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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.