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Finding the Fourth Proportional to 11,807.44, 17,693.30 and 7,122.24

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Solution

The fourth proportional to 11,807.44, 17,693.30 and 7,122.24 is: 10,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.44 : 17,693.30 = 7,122.24 : x
  2. Step 2: Convert to fraction form
    11,807.44/17,693.30 = 7,122.24/x
  3. Step 3: Cross multiply
    11,807.44x = 17,693.30 × 7,122.24
  4. Step 4: Simplify right side
    11,807.44x = 126,015,946.80
  5. Step 5: Solve for x
    x = 126,015,946.80/11,807.44
  6. Step 6: Final answer
    x = 10,672.59

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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.