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Finding the Fourth Proportional to 11,009.72, 15,193.41 and 6,294.11

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Solution

The fourth proportional to 11,009.72, 15,193.41 and 6,294.11 is: 8,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.72 : 15,193.41 = 6,294.11 : x
  2. Step 2: Convert to fraction form
    11,009.72/15,193.41 = 6,294.11/x
  3. Step 3: Cross multiply
    11,009.72x = 15,193.41 × 6,294.11
  4. Step 4: Simplify right side
    11,009.72x = 95,628,917.85
  5. Step 5: Solve for x
    x = 95,628,917.85/11,009.72
  6. Step 6: Final answer
    x = 8,685.87

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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.