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Finding the Fourth Proportional to 10,796.64, 14,899.38 and 6,081

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Solution

The fourth proportional to 10,796.64, 14,899.38 and 6,081 is: 8,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.64 : 14,899.38 = 6,081 : x
  2. Step 2: Convert to fraction form
    10,796.64/14,899.38 = 6,081/x
  3. Step 3: Cross multiply
    10,796.64x = 14,899.38 × 6,081
  4. Step 4: Simplify right side
    10,796.64x = 90,603,129.78
  5. Step 5: Solve for x
    x = 90,603,129.78/10,796.64
  6. Step 6: Final answer
    x = 8,391.79

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Why These Related Problems?

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