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Finding the Fourth Proportional to 10,699.14, 16,044.12 and 3,679.86

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Solution

The fourth proportional to 10,699.14, 16,044.12 and 3,679.86 is: 5,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.14 : 16,044.12 = 3,679.86 : x
  2. Step 2: Convert to fraction form
    10,699.14/16,044.12 = 3,679.86/x
  3. Step 3: Cross multiply
    10,699.14x = 16,044.12 × 3,679.86
  4. Step 4: Simplify right side
    10,699.14x = 59,040,115.42
  5. Step 5: Solve for x
    x = 59,040,115.42/10,699.14
  6. Step 6: Final answer
    x = 5,518.21

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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.