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Finding the Fourth Proportional to 10,991.61, 15,169.41 and 6,277.41

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Solution

The fourth proportional to 10,991.61, 15,169.41 and 6,277.41 is: 8,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.61 : 15,169.41 = 6,277.41 : x
  2. Step 2: Convert to fraction form
    10,991.61/15,169.41 = 6,277.41/x
  3. Step 3: Cross multiply
    10,991.61x = 15,169.41 × 6,277.41
  4. Step 4: Simplify right side
    10,991.61x = 95,224,606.03
  5. Step 5: Solve for x
    x = 95,224,606.03/10,991.61
  6. Step 6: Final answer
    x = 8,663.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.