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Finding the Fourth Proportional to 10,589.40, 14,612.40 and 5,874.12

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Solution

The fourth proportional to 10,589.40, 14,612.40 and 5,874.12 is: 8,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.40 : 14,612.40 = 5,874.12 : x
  2. Step 2: Convert to fraction form
    10,589.40/14,612.40 = 5,874.12/x
  3. Step 3: Cross multiply
    10,589.40x = 14,612.40 × 5,874.12
  4. Step 4: Simplify right side
    10,589.40x = 85,834,991.09
  5. Step 5: Solve for x
    x = 85,834,991.09/10,589.40
  6. Step 6: Final answer
    x = 8,105.75

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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.