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Finding the Fourth Proportional to 11,447.66, 17,176.43 and 6,181.62

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Solution

The fourth proportional to 11,447.66, 17,176.43 and 6,181.62 is: 9,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.66 : 17,176.43 = 6,181.62 : x
  2. Step 2: Convert to fraction form
    11,447.66/17,176.43 = 6,181.62/x
  3. Step 3: Cross multiply
    11,447.66x = 17,176.43 × 6,181.62
  4. Step 4: Simplify right side
    11,447.66x = 106,178,243.08
  5. Step 5: Solve for x
    x = 106,178,243.08/11,447.66
  6. Step 6: Final answer
    x = 9,275.10

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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.