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Finding the Fourth Proportional to 10,999.13, 15,178.86 and 6,286.14

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Solution

The fourth proportional to 10,999.13, 15,178.86 and 6,286.14 is: 8,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.13 : 15,178.86 = 6,286.14 : x
  2. Step 2: Convert to fraction form
    10,999.13/15,178.86 = 6,286.14/x
  3. Step 3: Cross multiply
    10,999.13x = 15,178.86 × 6,286.14
  4. Step 4: Simplify right side
    10,999.13x = 95,416,439.00
  5. Step 5: Solve for x
    x = 95,416,439.00/10,999.13
  6. Step 6: Final answer
    x = 8,674.91

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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.