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Finding the Fourth Proportional to 10,999.50, 15,180.12 and 6,808.56

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Solution

The fourth proportional to 10,999.50, 15,180.12 and 6,808.56 is: 9,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.50 : 15,180.12 = 6,808.56 : x
  2. Step 2: Convert to fraction form
    10,999.50/15,180.12 = 6,808.56/x
  3. Step 3: Cross multiply
    10,999.50x = 15,180.12 × 6,808.56
  4. Step 4: Simplify right side
    10,999.50x = 103,354,757.83
  5. Step 5: Solve for x
    x = 103,354,757.83/10,999.50
  6. Step 6: Final answer
    x = 9,396.31

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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.