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Finding the Fourth Proportional to 10,190.03, 14,061.87 and 5,713.97

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Solution

The fourth proportional to 10,190.03, 14,061.87 and 5,713.97 is: 7,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.03 : 14,061.87 = 5,713.97 : x
  2. Step 2: Convert to fraction form
    10,190.03/14,061.87 = 5,713.97/x
  3. Step 3: Cross multiply
    10,190.03x = 14,061.87 × 5,713.97
  4. Step 4: Simplify right side
    10,190.03x = 80,349,033.01
  5. Step 5: Solve for x
    x = 80,349,033.01/10,190.03
  6. Step 6: Final answer
    x = 7,885.07

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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.