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Finding the Fourth Proportional to 8,266.46, 11,399.13 and 6,378.35

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Solution

The fourth proportional to 8,266.46, 11,399.13 and 6,378.35 is: 8,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.46 : 11,399.13 = 6,378.35 : x
  2. Step 2: Convert to fraction form
    8,266.46/11,399.13 = 6,378.35/x
  3. Step 3: Cross multiply
    8,266.46x = 11,399.13 × 6,378.35
  4. Step 4: Simplify right side
    8,266.46x = 72,707,583.84
  5. Step 5: Solve for x
    x = 72,707,583.84/8,266.46
  6. Step 6: Final answer
    x = 8,795.50

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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.