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Finding the Fourth Proportional to 8,276.99, 11,414.67 and 6,157.82

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Solution

The fourth proportional to 8,276.99, 11,414.67 and 6,157.82 is: 8,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.99 : 11,414.67 = 6,157.82 : x
  2. Step 2: Convert to fraction form
    8,276.99/11,414.67 = 6,157.82/x
  3. Step 3: Cross multiply
    8,276.99x = 11,414.67 × 6,157.82
  4. Step 4: Simplify right side
    8,276.99x = 70,289,523.30
  5. Step 5: Solve for x
    x = 70,289,523.30/8,276.99
  6. Step 6: Final answer
    x = 8,492.17

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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.