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Finding the Fourth Proportional to 11,546.76, 17,304.18 and 6,605.96

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Solution

The fourth proportional to 11,546.76, 17,304.18 and 6,605.96 is: 9,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.76 : 17,304.18 = 6,605.96 : x
  2. Step 2: Convert to fraction form
    11,546.76/17,304.18 = 6,605.96/x
  3. Step 3: Cross multiply
    11,546.76x = 17,304.18 × 6,605.96
  4. Step 4: Simplify right side
    11,546.76x = 114,310,720.91
  5. Step 5: Solve for x
    x = 114,310,720.91/11,546.76
  6. Step 6: Final answer
    x = 9,899.81

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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.