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Finding the Fourth Proportional to 11,643.08, 16,066.62 and 6,337.85

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Solution

The fourth proportional to 11,643.08, 16,066.62 and 6,337.85 is: 8,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.08 : 16,066.62 = 6,337.85 : x
  2. Step 2: Convert to fraction form
    11,643.08/16,066.62 = 6,337.85/x
  3. Step 3: Cross multiply
    11,643.08x = 16,066.62 × 6,337.85
  4. Step 4: Simplify right side
    11,643.08x = 101,827,747.23
  5. Step 5: Solve for x
    x = 101,827,747.23/11,643.08
  6. Step 6: Final answer
    x = 8,745.78

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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.