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Finding the Fourth Proportional to 10,220.01, 14,102.84 and 5,742.92

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Solution

The fourth proportional to 10,220.01, 14,102.84 and 5,742.92 is: 7,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.01 : 14,102.84 = 5,742.92 : x
  2. Step 2: Convert to fraction form
    10,220.01/14,102.84 = 5,742.92/x
  3. Step 3: Cross multiply
    10,220.01x = 14,102.84 × 5,742.92
  4. Step 4: Simplify right side
    10,220.01x = 80,991,382.66
  5. Step 5: Solve for x
    x = 80,991,382.66/10,220.01
  6. Step 6: Final answer
    x = 7,924.79

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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.