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Finding the Fourth Proportional to 11,543.54, 17,316.97 and 3,643.37

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Solution

The fourth proportional to 11,543.54, 17,316.97 and 3,643.37 is: 5,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.54 : 17,316.97 = 3,643.37 : x
  2. Step 2: Convert to fraction form
    11,543.54/17,316.97 = 3,643.37/x
  3. Step 3: Cross multiply
    11,543.54x = 17,316.97 × 3,643.37
  4. Step 4: Simplify right side
    11,543.54x = 63,092,033.30
  5. Step 5: Solve for x
    x = 63,092,033.30/11,543.54
  6. Step 6: Final answer
    x = 5,465.57

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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.