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Finding the Fourth Proportional to 10,179.93, 14,049.09 and 6,406.33

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Solution

The fourth proportional to 10,179.93, 14,049.09 and 6,406.33 is: 8,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.93 : 14,049.09 = 6,406.33 : x
  2. Step 2: Convert to fraction form
    10,179.93/14,049.09 = 6,406.33/x
  3. Step 3: Cross multiply
    10,179.93x = 14,049.09 × 6,406.33
  4. Step 4: Simplify right side
    10,179.93x = 90,003,109.83
  5. Step 5: Solve for x
    x = 90,003,109.83/10,179.93
  6. Step 6: Final answer
    x = 8,841.23

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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.