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Finding the Fourth Proportional to 7,663.10, 11,494.67 and 2,116.28

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Solution

The fourth proportional to 7,663.10, 11,494.67 and 2,116.28 is: 3,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.10 : 11,494.67 = 2,116.28 : x
  2. Step 2: Convert to fraction form
    7,663.10/11,494.67 = 2,116.28/x
  3. Step 3: Cross multiply
    7,663.10x = 11,494.67 × 2,116.28
  4. Step 4: Simplify right side
    7,663.10x = 24,325,872.17
  5. Step 5: Solve for x
    x = 24,325,872.17/7,663.10
  6. Step 6: Final answer
    x = 3,174.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.