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Finding the Fourth Proportional to 8,263.84, 12,366.78 and 5,926.48

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Solution

The fourth proportional to 8,263.84, 12,366.78 and 5,926.48 is: 8,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.84 : 12,366.78 = 5,926.48 : x
  2. Step 2: Convert to fraction form
    8,263.84/12,366.78 = 5,926.48/x
  3. Step 3: Cross multiply
    8,263.84x = 12,366.78 × 5,926.48
  4. Step 4: Simplify right side
    8,263.84x = 73,291,474.33
  5. Step 5: Solve for x
    x = 73,291,474.33/8,263.84
  6. Step 6: Final answer
    x = 8,868.94

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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.