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Finding the Fourth Proportional to 37,940.76, 56,906.13 and 11,643.30

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Solution

The fourth proportional to 37,940.76, 56,906.13 and 11,643.30 is: 17,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,940.76 : 56,906.13 = 11,643.30 : x
  2. Step 2: Convert to fraction form
    37,940.76/56,906.13 = 11,643.30/x
  3. Step 3: Cross multiply
    37,940.76x = 56,906.13 × 11,643.30
  4. Step 4: Simplify right side
    37,940.76x = 662,575,143.43
  5. Step 5: Solve for x
    x = 662,575,143.43/37,940.76
  6. Step 6: Final answer
    x = 17,463.41

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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.