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Finding the Fourth Proportional to 10,689.71, 16,021.41 and 5,999.87

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Solution

The fourth proportional to 10,689.71, 16,021.41 and 5,999.87 is: 8,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.71 : 16,021.41 = 5,999.87 : x
  2. Step 2: Convert to fraction form
    10,689.71/16,021.41 = 5,999.87/x
  3. Step 3: Cross multiply
    10,689.71x = 16,021.41 × 5,999.87
  4. Step 4: Simplify right side
    10,689.71x = 96,126,394.77
  5. Step 5: Solve for x
    x = 96,126,394.77/10,689.71
  6. Step 6: Final answer
    x = 8,992.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.