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Finding the Fourth Proportional to 10,684.46, 16,010.14 and 8,049.13

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Solution

The fourth proportional to 10,684.46, 16,010.14 and 8,049.13 is: 12,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.46 : 16,010.14 = 8,049.13 : x
  2. Step 2: Convert to fraction form
    10,684.46/16,010.14 = 8,049.13/x
  3. Step 3: Cross multiply
    10,684.46x = 16,010.14 × 8,049.13
  4. Step 4: Simplify right side
    10,684.46x = 128,867,577.88
  5. Step 5: Solve for x
    x = 128,867,577.88/10,684.46
  6. Step 6: Final answer
    x = 12,061.22

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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.