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Finding the Fourth Proportional to 8,178.99, 11,265.50 and 6,286.95

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Solution

The fourth proportional to 8,178.99, 11,265.50 and 6,286.95 is: 8,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.99 : 11,265.50 = 6,286.95 : x
  2. Step 2: Convert to fraction form
    8,178.99/11,265.50 = 6,286.95/x
  3. Step 3: Cross multiply
    8,178.99x = 11,265.50 × 6,286.95
  4. Step 4: Simplify right side
    8,178.99x = 70,825,603.79
  5. Step 5: Solve for x
    x = 70,825,603.79/8,178.99
  6. Step 6: Final answer
    x = 8,659.46

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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.