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Finding the Fourth Proportional to 10,703.20, 14,773.38 and 6,227.82

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Solution

The fourth proportional to 10,703.20, 14,773.38 and 6,227.82 is: 8,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.20 : 14,773.38 = 6,227.82 : x
  2. Step 2: Convert to fraction form
    10,703.20/14,773.38 = 6,227.82/x
  3. Step 3: Cross multiply
    10,703.20x = 14,773.38 × 6,227.82
  4. Step 4: Simplify right side
    10,703.20x = 92,005,909.54
  5. Step 5: Solve for x
    x = 92,005,909.54/10,703.20
  6. Step 6: Final answer
    x = 8,596.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.