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Finding the Fourth Proportional to 10,065.62, 13,892.21 and 5,873.06

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Solution

The fourth proportional to 10,065.62, 13,892.21 and 5,873.06 is: 8,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.62 : 13,892.21 = 5,873.06 : x
  2. Step 2: Convert to fraction form
    10,065.62/13,892.21 = 5,873.06/x
  3. Step 3: Cross multiply
    10,065.62x = 13,892.21 × 5,873.06
  4. Step 4: Simplify right side
    10,065.62x = 81,589,782.86
  5. Step 5: Solve for x
    x = 81,589,782.86/10,065.62
  6. Step 6: Final answer
    x = 8,105.79

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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.