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Finding the Fourth Proportional to 11,869.77, 16,380.36 and 6,564.66

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Solution

The fourth proportional to 11,869.77, 16,380.36 and 6,564.66 is: 9,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.77 : 16,380.36 = 6,564.66 : x
  2. Step 2: Convert to fraction form
    11,869.77/16,380.36 = 6,564.66/x
  3. Step 3: Cross multiply
    11,869.77x = 16,380.36 × 6,564.66
  4. Step 4: Simplify right side
    11,869.77x = 107,531,494.08
  5. Step 5: Solve for x
    x = 107,531,494.08/11,869.77
  6. Step 6: Final answer
    x = 9,059.27

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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.