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Finding the Fourth Proportional to 11,492.38, 17,241.64 and 6,226.15

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Solution

The fourth proportional to 11,492.38, 17,241.64 and 6,226.15 is: 9,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.38 : 17,241.64 = 6,226.15 : x
  2. Step 2: Convert to fraction form
    11,492.38/17,241.64 = 6,226.15/x
  3. Step 3: Cross multiply
    11,492.38x = 17,241.64 × 6,226.15
  4. Step 4: Simplify right side
    11,492.38x = 107,349,001.56
  5. Step 5: Solve for x
    x = 107,349,001.56/11,492.38
  6. Step 6: Final answer
    x = 9,340.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.