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Finding the Fourth Proportional to 10,186.27, 14,057.01 and 5,710.03

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Solution

The fourth proportional to 10,186.27, 14,057.01 and 5,710.03 is: 7,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.27 : 14,057.01 = 5,710.03 : x
  2. Step 2: Convert to fraction form
    10,186.27/14,057.01 = 5,710.03/x
  3. Step 3: Cross multiply
    10,186.27x = 14,057.01 × 5,710.03
  4. Step 4: Simplify right side
    10,186.27x = 80,265,849.98
  5. Step 5: Solve for x
    x = 80,265,849.98/10,186.27
  6. Step 6: Final answer
    x = 7,879.81

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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.