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Finding the Fourth Proportional to 11,796.66, 17,696.93 and 4,777.11

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Solution

The fourth proportional to 11,796.66, 17,696.93 and 4,777.11 is: 7,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.66 : 17,696.93 = 4,777.11 : x
  2. Step 2: Convert to fraction form
    11,796.66/17,696.93 = 4,777.11/x
  3. Step 3: Cross multiply
    11,796.66x = 17,696.93 × 4,777.11
  4. Step 4: Simplify right side
    11,796.66x = 84,540,157.39
  5. Step 5: Solve for x
    x = 84,540,157.39/11,796.66
  6. Step 6: Final answer
    x = 7,166.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.