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Finding the Fourth Proportional to 11,610.32, 17,419.80 and 5,450

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Solution

The fourth proportional to 11,610.32, 17,419.80 and 5,450 is: 8,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.32 : 17,419.80 = 5,450 : x
  2. Step 2: Convert to fraction form
    11,610.32/17,419.80 = 5,450/x
  3. Step 3: Cross multiply
    11,610.32x = 17,419.80 × 5,450
  4. Step 4: Simplify right side
    11,610.32x = 94,937,910
  5. Step 5: Solve for x
    x = 94,937,910/11,610.32
  6. Step 6: Final answer
    x = 8,177.03

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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.