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Finding the Fourth Proportional to 8,238.29, 11,366.00 and 6,723.18

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Solution

The fourth proportional to 8,238.29, 11,366.00 and 6,723.18 is: 9,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.29 : 11,366.00 = 6,723.18 : x
  2. Step 2: Convert to fraction form
    8,238.29/11,366.00 = 6,723.18/x
  3. Step 3: Cross multiply
    8,238.29x = 11,366.00 × 6,723.18
  4. Step 4: Simplify right side
    8,238.29x = 76,415,630.26
  5. Step 5: Solve for x
    x = 76,415,630.26/8,238.29
  6. Step 6: Final answer
    x = 9,275.67

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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.