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Finding the Fourth Proportional to 10,073.85, 13,900.24 and 5,825.31

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Solution

The fourth proportional to 10,073.85, 13,900.24 and 5,825.31 is: 8,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.85 : 13,900.24 = 5,825.31 : x
  2. Step 2: Convert to fraction form
    10,073.85/13,900.24 = 5,825.31/x
  3. Step 3: Cross multiply
    10,073.85x = 13,900.24 × 5,825.31
  4. Step 4: Simplify right side
    10,073.85x = 80,973,207.07
  5. Step 5: Solve for x
    x = 80,973,207.07/10,073.85
  6. Step 6: Final answer
    x = 8,037.96

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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.