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Finding the Fourth Proportional to 11,475.68, 17,213.52 and 3,689.96

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Solution

The fourth proportional to 11,475.68, 17,213.52 and 3,689.96 is: 5,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.68 : 17,213.52 = 3,689.96 : x
  2. Step 2: Convert to fraction form
    11,475.68/17,213.52 = 3,689.96/x
  3. Step 3: Cross multiply
    11,475.68x = 17,213.52 × 3,689.96
  4. Step 4: Simplify right side
    11,475.68x = 63,517,200.26
  5. Step 5: Solve for x
    x = 63,517,200.26/11,475.68
  6. Step 6: Final answer
    x = 5,534.94

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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.