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Finding the Fourth Proportional to 11,173.44, 15,416.64 and 6,205.44

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Solution

The fourth proportional to 11,173.44, 15,416.64 and 6,205.44 is: 8,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.44 : 15,416.64 = 6,205.44 : x
  2. Step 2: Convert to fraction form
    11,173.44/15,416.64 = 6,205.44/x
  3. Step 3: Cross multiply
    11,173.44x = 15,416.64 × 6,205.44
  4. Step 4: Simplify right side
    11,173.44x = 95,667,034.52
  5. Step 5: Solve for x
    x = 95,667,034.52/11,173.44
  6. Step 6: Final answer
    x = 8,562.00

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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.