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Finding the Fourth Proportional to 11,940.74, 16,477.71 and 6,635.91

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Solution

The fourth proportional to 11,940.74, 16,477.71 and 6,635.91 is: 9,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.74 : 16,477.71 = 6,635.91 : x
  2. Step 2: Convert to fraction form
    11,940.74/16,477.71 = 6,635.91/x
  3. Step 3: Cross multiply
    11,940.74x = 16,477.71 × 6,635.91
  4. Step 4: Simplify right side
    11,940.74x = 109,344,600.57
  5. Step 5: Solve for x
    x = 109,344,600.57/11,940.74
  6. Step 6: Final answer
    x = 9,157.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.