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Finding the Fourth Proportional to 11,719.59, 16,175.94 and 7,949.06

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Solution

The fourth proportional to 11,719.59, 16,175.94 and 7,949.06 is: 10,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.59 : 16,175.94 = 7,949.06 : x
  2. Step 2: Convert to fraction form
    11,719.59/16,175.94 = 7,949.06/x
  3. Step 3: Cross multiply
    11,719.59x = 16,175.94 × 7,949.06
  4. Step 4: Simplify right side
    11,719.59x = 128,583,546.62
  5. Step 5: Solve for x
    x = 128,583,546.62/11,719.59
  6. Step 6: Final answer
    x = 10,971.68

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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.