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Finding the Fourth Proportional to 11,690.46, 16,137.39 and 7,911.78

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Solution

The fourth proportional to 11,690.46, 16,137.39 and 7,911.78 is: 10,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.46 : 16,137.39 = 7,911.78 : x
  2. Step 2: Convert to fraction form
    11,690.46/16,137.39 = 7,911.78/x
  3. Step 3: Cross multiply
    11,690.46x = 16,137.39 × 7,911.78
  4. Step 4: Simplify right side
    11,690.46x = 127,675,479.45
  5. Step 5: Solve for x
    x = 127,675,479.45/11,690.46
  6. Step 6: Final answer
    x = 10,921.34

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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.