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Finding the Fourth Proportional to 10,589.11, 14,614.73 and 5,874.91

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Solution

The fourth proportional to 10,589.11, 14,614.73 and 5,874.91 is: 8,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.11 : 14,614.73 = 5,874.91 : x
  2. Step 2: Convert to fraction form
    10,589.11/14,614.73 = 5,874.91/x
  3. Step 3: Cross multiply
    10,589.11x = 14,614.73 × 5,874.91
  4. Step 4: Simplify right side
    10,589.11x = 85,860,212.32
  5. Step 5: Solve for x
    x = 85,860,212.32/10,589.11
  6. Step 6: Final answer
    x = 8,108.35

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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.