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Finding the Fourth Proportional to 11,380.32, 17,071.92 and 4,453.92

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Solution

The fourth proportional to 11,380.32, 17,071.92 and 4,453.92 is: 6,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.32 : 17,071.92 = 4,453.92 : x
  2. Step 2: Convert to fraction form
    11,380.32/17,071.92 = 4,453.92/x
  3. Step 3: Cross multiply
    11,380.32x = 17,071.92 × 4,453.92
  4. Step 4: Simplify right side
    11,380.32x = 76,036,965.93
  5. Step 5: Solve for x
    x = 76,036,965.93/11,380.32
  6. Step 6: Final answer
    x = 6,681.44

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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.