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Finding the Fourth Proportional to 11,452.68, 17,164.65 and 6,187.47

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Solution

The fourth proportional to 11,452.68, 17,164.65 and 6,187.47 is: 9,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.68 : 17,164.65 = 6,187.47 : x
  2. Step 2: Convert to fraction form
    11,452.68/17,164.65 = 6,187.47/x
  3. Step 3: Cross multiply
    11,452.68x = 17,164.65 × 6,187.47
  4. Step 4: Simplify right side
    11,452.68x = 106,205,756.94
  5. Step 5: Solve for x
    x = 106,205,756.94/11,452.68
  6. Step 6: Final answer
    x = 9,273.44

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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.