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Finding the Fourth Proportional to 8,278.11, 11,416.22 and 6,158.95

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Solution

The fourth proportional to 8,278.11, 11,416.22 and 6,158.95 is: 8,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.11 : 11,416.22 = 6,158.95 : x
  2. Step 2: Convert to fraction form
    8,278.11/11,416.22 = 6,158.95/x
  3. Step 3: Cross multiply
    8,278.11x = 11,416.22 × 6,158.95
  4. Step 4: Simplify right side
    8,278.11x = 70,311,928.17
  5. Step 5: Solve for x
    x = 70,311,928.17/8,278.11
  6. Step 6: Final answer
    x = 8,493.72

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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.