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Finding the Fourth Proportional to 11,471.32, 15,832.04 and 6,692.84

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Solution

The fourth proportional to 11,471.32, 15,832.04 and 6,692.84 is: 9,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.32 : 15,832.04 = 6,692.84 : x
  2. Step 2: Convert to fraction form
    11,471.32/15,832.04 = 6,692.84/x
  3. Step 3: Cross multiply
    11,471.32x = 15,832.04 × 6,692.84
  4. Step 4: Simplify right side
    11,471.32x = 105,961,310.59
  5. Step 5: Solve for x
    x = 105,961,310.59/11,471.32
  6. Step 6: Final answer
    x = 9,237.06

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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.