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Finding the Fourth Proportional to 10,991.85, 15,171.50 and 6,278.86

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Solution

The fourth proportional to 10,991.85, 15,171.50 and 6,278.86 is: 8,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.85 : 15,171.50 = 6,278.86 : x
  2. Step 2: Convert to fraction form
    10,991.85/15,171.50 = 6,278.86/x
  3. Step 3: Cross multiply
    10,991.85x = 15,171.50 × 6,278.86
  4. Step 4: Simplify right side
    10,991.85x = 95,259,724.49
  5. Step 5: Solve for x
    x = 95,259,724.49/10,991.85
  6. Step 6: Final answer
    x = 8,666.40

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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.