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Finding the Fourth Proportional to 10,086.64, 13,921.84 and 5,612

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Solution

The fourth proportional to 10,086.64, 13,921.84 and 5,612 is: 7,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.64 : 13,921.84 = 5,612 : x
  2. Step 2: Convert to fraction form
    10,086.64/13,921.84 = 5,612/x
  3. Step 3: Cross multiply
    10,086.64x = 13,921.84 × 5,612
  4. Step 4: Simplify right side
    10,086.64x = 78,129,366.08
  5. Step 5: Solve for x
    x = 78,129,366.08/10,086.64
  6. Step 6: Final answer
    x = 7,745.83

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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.