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Finding the Fourth Proportional to 11,447.95, 17,178.54 and 6,183.06

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Solution

The fourth proportional to 11,447.95, 17,178.54 and 6,183.06 is: 9,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.95 : 17,178.54 = 6,183.06 : x
  2. Step 2: Convert to fraction form
    11,447.95/17,178.54 = 6,183.06/x
  3. Step 3: Cross multiply
    11,447.95x = 17,178.54 × 6,183.06
  4. Step 4: Simplify right side
    11,447.95x = 106,215,943.53
  5. Step 5: Solve for x
    x = 106,215,943.53/11,447.95
  6. Step 6: Final answer
    x = 9,278.16

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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.