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Finding the Fourth Proportional to 11,663.30, 16,094.77 and 6,626.85

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Solution

The fourth proportional to 11,663.30, 16,094.77 and 6,626.85 is: 9,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.30 : 16,094.77 = 6,626.85 : x
  2. Step 2: Convert to fraction form
    11,663.30/16,094.77 = 6,626.85/x
  3. Step 3: Cross multiply
    11,663.30x = 16,094.77 × 6,626.85
  4. Step 4: Simplify right side
    11,663.30x = 106,657,593.44
  5. Step 5: Solve for x
    x = 106,657,593.44/11,663.30
  6. Step 6: Final answer
    x = 9,144.72

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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.