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Finding the Fourth Proportional to 11,697.25, 16,139.64 and 7,446.78

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Solution

The fourth proportional to 11,697.25, 16,139.64 and 7,446.78 is: 10,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.25 : 16,139.64 = 7,446.78 : x
  2. Step 2: Convert to fraction form
    11,697.25/16,139.64 = 7,446.78/x
  3. Step 3: Cross multiply
    11,697.25x = 16,139.64 × 7,446.78
  4. Step 4: Simplify right side
    11,697.25x = 120,188,348.36
  5. Step 5: Solve for x
    x = 120,188,348.36/11,697.25
  6. Step 6: Final answer
    x = 10,274.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.