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Finding the Fourth Proportional to 10,149.80, 13,997.64 and 6,373.31

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Solution

The fourth proportional to 10,149.80, 13,997.64 and 6,373.31 is: 8,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.80 : 13,997.64 = 6,373.31 : x
  2. Step 2: Convert to fraction form
    10,149.80/13,997.64 = 6,373.31/x
  3. Step 3: Cross multiply
    10,149.80x = 13,997.64 × 6,373.31
  4. Step 4: Simplify right side
    10,149.80x = 89,211,298.99
  5. Step 5: Solve for x
    x = 89,211,298.99/10,149.80
  6. Step 6: Final answer
    x = 8,789.47

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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.