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Finding the Fourth Proportional to 10,283.98, 14,192.03 and 6,249.66

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Solution

The fourth proportional to 10,283.98, 14,192.03 and 6,249.66 is: 8,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.98 : 14,192.03 = 6,249.66 : x
  2. Step 2: Convert to fraction form
    10,283.98/14,192.03 = 6,249.66/x
  3. Step 3: Cross multiply
    10,283.98x = 14,192.03 × 6,249.66
  4. Step 4: Simplify right side
    10,283.98x = 88,695,362.21
  5. Step 5: Solve for x
    x = 88,695,362.21/10,283.98
  6. Step 6: Final answer
    x = 8,624.61

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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.