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Finding the Fourth Proportional to 11,447.16, 17,177.12 and 6,182.06

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Solution

The fourth proportional to 11,447.16, 17,177.12 and 6,182.06 is: 9,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.16 : 17,177.12 = 6,182.06 : x
  2. Step 2: Convert to fraction form
    11,447.16/17,177.12 = 6,182.06/x
  3. Step 3: Cross multiply
    11,447.16x = 17,177.12 × 6,182.06
  4. Step 4: Simplify right side
    11,447.16x = 106,189,986.47
  5. Step 5: Solve for x
    x = 106,189,986.47/11,447.16
  6. Step 6: Final answer
    x = 9,276.54

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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.