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Finding the Fourth Proportional to 11,600.08, 16,008.11 and 6,294.90

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Solution

The fourth proportional to 11,600.08, 16,008.11 and 6,294.90 is: 8,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.08 : 16,008.11 = 6,294.90 : x
  2. Step 2: Convert to fraction form
    11,600.08/16,008.11 = 6,294.90/x
  3. Step 3: Cross multiply
    11,600.08x = 16,008.11 × 6,294.90
  4. Step 4: Simplify right side
    11,600.08x = 100,769,451.64
  5. Step 5: Solve for x
    x = 100,769,451.64/11,600.08
  6. Step 6: Final answer
    x = 8,686.96

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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.