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Finding the Fourth Proportional to 11,531.64, 17,296.45 and 3,211.12

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Solution

The fourth proportional to 11,531.64, 17,296.45 and 3,211.12 is: 4,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.64 : 17,296.45 = 3,211.12 : x
  2. Step 2: Convert to fraction form
    11,531.64/17,296.45 = 3,211.12/x
  3. Step 3: Cross multiply
    11,531.64x = 17,296.45 × 3,211.12
  4. Step 4: Simplify right side
    11,531.64x = 55,541,008.18
  5. Step 5: Solve for x
    x = 55,541,008.18/11,531.64
  6. Step 6: Final answer
    x = 4,816.40

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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.