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Finding the Fourth Proportional to 11,869.56, 16,380.09 and 6,564.48

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Solution

The fourth proportional to 11,869.56, 16,380.09 and 6,564.48 is: 9,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.56 : 16,380.09 = 6,564.48 : x
  2. Step 2: Convert to fraction form
    11,869.56/16,380.09 = 6,564.48/x
  3. Step 3: Cross multiply
    11,869.56x = 16,380.09 × 6,564.48
  4. Step 4: Simplify right side
    11,869.56x = 107,526,773.20
  5. Step 5: Solve for x
    x = 107,526,773.20/11,869.56
  6. Step 6: Final answer
    x = 9,059.04

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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.