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Finding the Fourth Proportional to 11,385.36, 17,091 and 6,778.08

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Solution

The fourth proportional to 11,385.36, 17,091 and 6,778.08 is: 10,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.36 : 17,091 = 6,778.08 : x
  2. Step 2: Convert to fraction form
    11,385.36/17,091 = 6,778.08/x
  3. Step 3: Cross multiply
    11,385.36x = 17,091 × 6,778.08
  4. Step 4: Simplify right side
    11,385.36x = 115,844,165.28
  5. Step 5: Solve for x
    x = 115,844,165.28/11,385.36
  6. Step 6: Final answer
    x = 10,174.84

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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.