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Finding the Fourth Proportional to 11,543.31, 17,316.21 and 3,646.03

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Solution

The fourth proportional to 11,543.31, 17,316.21 and 3,646.03 is: 5,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.31 : 17,316.21 = 3,646.03 : x
  2. Step 2: Convert to fraction form
    11,543.31/17,316.21 = 3,646.03/x
  3. Step 3: Cross multiply
    11,543.31x = 17,316.21 × 3,646.03
  4. Step 4: Simplify right side
    11,543.31x = 63,135,424.00
  5. Step 5: Solve for x
    x = 63,135,424.00/11,543.31
  6. Step 6: Final answer
    x = 5,469.44

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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.