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Finding the Fourth Proportional to 11,543.38, 17,308.90 and 5,991.13

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Solution

The fourth proportional to 11,543.38, 17,308.90 and 5,991.13 is: 8,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.38 : 17,308.90 = 5,991.13 : x
  2. Step 2: Convert to fraction form
    11,543.38/17,308.90 = 5,991.13/x
  3. Step 3: Cross multiply
    11,543.38x = 17,308.90 × 5,991.13
  4. Step 4: Simplify right side
    11,543.38x = 103,699,870.06
  5. Step 5: Solve for x
    x = 103,699,870.06/11,543.38
  6. Step 6: Final answer
    x = 8,983.49

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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.