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Finding the Fourth Proportional to 11,600.80, 16,009.14 and 6,295.62

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Solution

The fourth proportional to 11,600.80, 16,009.14 and 6,295.62 is: 8,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.80 : 16,009.14 = 6,295.62 : x
  2. Step 2: Convert to fraction form
    11,600.80/16,009.14 = 6,295.62/x
  3. Step 3: Cross multiply
    11,600.80x = 16,009.14 × 6,295.62
  4. Step 4: Simplify right side
    11,600.80x = 100,787,461.97
  5. Step 5: Solve for x
    x = 100,787,461.97/11,600.80
  6. Step 6: Final answer
    x = 8,687.98

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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.