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Finding the Fourth Proportional to 11,940.57, 16,477.65 and 6,635.25

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Solution

The fourth proportional to 11,940.57, 16,477.65 and 6,635.25 is: 9,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.57 : 16,477.65 = 6,635.25 : x
  2. Step 2: Convert to fraction form
    11,940.57/16,477.65 = 6,635.25/x
  3. Step 3: Cross multiply
    11,940.57x = 16,477.65 × 6,635.25
  4. Step 4: Simplify right side
    11,940.57x = 109,333,290.25
  5. Step 5: Solve for x
    x = 109,333,290.25/11,940.57
  6. Step 6: Final answer
    x = 9,156.46

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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.