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Finding the Fourth Proportional to 10,203.91, 14,080.94 and 5,727.58

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Solution

The fourth proportional to 10,203.91, 14,080.94 and 5,727.58 is: 7,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.91 : 14,080.94 = 5,727.58 : x
  2. Step 2: Convert to fraction form
    10,203.91/14,080.94 = 5,727.58/x
  3. Step 3: Cross multiply
    10,203.91x = 14,080.94 × 5,727.58
  4. Step 4: Simplify right side
    10,203.91x = 80,649,667.96
  5. Step 5: Solve for x
    x = 80,649,667.96/10,203.91
  6. Step 6: Final answer
    x = 7,903.80

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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.