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Finding the Fourth Proportional to 10,496.85, 14,485.31 and 5,781.12

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Solution

The fourth proportional to 10,496.85, 14,485.31 and 5,781.12 is: 7,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.85 : 14,485.31 = 5,781.12 : x
  2. Step 2: Convert to fraction form
    10,496.85/14,485.31 = 5,781.12/x
  3. Step 3: Cross multiply
    10,496.85x = 14,485.31 × 5,781.12
  4. Step 4: Simplify right side
    10,496.85x = 83,741,286.44
  5. Step 5: Solve for x
    x = 83,741,286.44/10,496.85
  6. Step 6: Final answer
    x = 7,977.75

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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.