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Finding the Fourth Proportional to 11,431.39, 15,768.26 and 7,844.71

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Solution

The fourth proportional to 11,431.39, 15,768.26 and 7,844.71 is: 10,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.39 : 15,768.26 = 7,844.71 : x
  2. Step 2: Convert to fraction form
    11,431.39/15,768.26 = 7,844.71/x
  3. Step 3: Cross multiply
    11,431.39x = 15,768.26 × 7,844.71
  4. Step 4: Simplify right side
    11,431.39x = 123,697,387.68
  5. Step 5: Solve for x
    x = 123,697,387.68/11,431.39
  6. Step 6: Final answer
    x = 10,820.85

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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.