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Finding the Fourth Proportional to 10,126.86, 13,987.23 and 7,796.94

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Solution

The fourth proportional to 10,126.86, 13,987.23 and 7,796.94 is: 10,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.86 : 13,987.23 = 7,796.94 : x
  2. Step 2: Convert to fraction form
    10,126.86/13,987.23 = 7,796.94/x
  3. Step 3: Cross multiply
    10,126.86x = 13,987.23 × 7,796.94
  4. Step 4: Simplify right side
    10,126.86x = 109,057,593.08
  5. Step 5: Solve for x
    x = 109,057,593.08/10,126.86
  6. Step 6: Final answer
    x = 10,769.14

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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.