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Finding the Fourth Proportional to 11,602.26, 17,380.71 and 5,741.10

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Solution

The fourth proportional to 11,602.26, 17,380.71 and 5,741.10 is: 8,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.26 : 17,380.71 = 5,741.10 : x
  2. Step 2: Convert to fraction form
    11,602.26/17,380.71 = 5,741.10/x
  3. Step 3: Cross multiply
    11,602.26x = 17,380.71 × 5,741.10
  4. Step 4: Simplify right side
    11,602.26x = 99,784,394.18
  5. Step 5: Solve for x
    x = 99,784,394.18/11,602.26
  6. Step 6: Final answer
    x = 8,600.43

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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.