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Finding the Fourth Proportional to 10,896.66, 16,353.75 and 5,633.21

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Solution

The fourth proportional to 10,896.66, 16,353.75 and 5,633.21 is: 8,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.66 : 16,353.75 = 5,633.21 : x
  2. Step 2: Convert to fraction form
    10,896.66/16,353.75 = 5,633.21/x
  3. Step 3: Cross multiply
    10,896.66x = 16,353.75 × 5,633.21
  4. Step 4: Simplify right side
    10,896.66x = 92,124,134.84
  5. Step 5: Solve for x
    x = 92,124,134.84/10,896.66
  6. Step 6: Final answer
    x = 8,454.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.