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Finding the Fourth Proportional to 11,331.90, 16,975.76 and 7,424.46

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Solution

The fourth proportional to 11,331.90, 16,975.76 and 7,424.46 is: 11,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.90 : 16,975.76 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    11,331.90/16,975.76 = 7,424.46/x
  3. Step 3: Cross multiply
    11,331.90x = 16,975.76 × 7,424.46
  4. Step 4: Simplify right side
    11,331.90x = 126,035,851.09
  5. Step 5: Solve for x
    x = 126,035,851.09/11,331.90
  6. Step 6: Final answer
    x = 11,122.22

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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.