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Finding the Fourth Proportional to 10,703.80, 14,765.14 and 6,227.03

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Solution

The fourth proportional to 10,703.80, 14,765.14 and 6,227.03 is: 8,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.80 : 14,765.14 = 6,227.03 : x
  2. Step 2: Convert to fraction form
    10,703.80/14,765.14 = 6,227.03/x
  3. Step 3: Cross multiply
    10,703.80x = 14,765.14 × 6,227.03
  4. Step 4: Simplify right side
    10,703.80x = 91,942,991.08
  5. Step 5: Solve for x
    x = 91,942,991.08/10,703.80
  6. Step 6: Final answer
    x = 8,589.75

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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.