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Finding the Fourth Proportional to 11,229.81, 15,497.82 and 6,194.01

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Solution

The fourth proportional to 11,229.81, 15,497.82 and 6,194.01 is: 8,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.81 : 15,497.82 = 6,194.01 : x
  2. Step 2: Convert to fraction form
    11,229.81/15,497.82 = 6,194.01/x
  3. Step 3: Cross multiply
    11,229.81x = 15,497.82 × 6,194.01
  4. Step 4: Simplify right side
    11,229.81x = 95,993,652.06
  5. Step 5: Solve for x
    x = 95,993,652.06/11,229.81
  6. Step 6: Final answer
    x = 8,548.11

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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.