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Finding the Fourth Proportional to 11,989.64, 16,532.82 and 8,403.46

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Solution

The fourth proportional to 11,989.64, 16,532.82 and 8,403.46 is: 11,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.64 : 16,532.82 = 8,403.46 : x
  2. Step 2: Convert to fraction form
    11,989.64/16,532.82 = 8,403.46/x
  3. Step 3: Cross multiply
    11,989.64x = 16,532.82 × 8,403.46
  4. Step 4: Simplify right side
    11,989.64x = 138,932,891.56
  5. Step 5: Solve for x
    x = 138,932,891.56/11,989.64
  6. Step 6: Final answer
    x = 11,587.75

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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.