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Finding the Fourth Proportional to 11,131.54, 16,697.81 and 6,197.46

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Solution

The fourth proportional to 11,131.54, 16,697.81 and 6,197.46 is: 9,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.54 : 16,697.81 = 6,197.46 : x
  2. Step 2: Convert to fraction form
    11,131.54/16,697.81 = 6,197.46/x
  3. Step 3: Cross multiply
    11,131.54x = 16,697.81 × 6,197.46
  4. Step 4: Simplify right side
    11,131.54x = 103,483,926.07
  5. Step 5: Solve for x
    x = 103,483,926.07/11,131.54
  6. Step 6: Final answer
    x = 9,296.47

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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.