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Finding the Fourth Proportional to 11,699.12, 17,560.83 and 6,778.37

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Solution

The fourth proportional to 11,699.12, 17,560.83 and 6,778.37 is: 10,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.12 : 17,560.83 = 6,778.37 : x
  2. Step 2: Convert to fraction form
    11,699.12/17,560.83 = 6,778.37/x
  3. Step 3: Cross multiply
    11,699.12x = 17,560.83 × 6,778.37
  4. Step 4: Simplify right side
    11,699.12x = 119,033,803.25
  5. Step 5: Solve for x
    x = 119,033,803.25/11,699.12
  6. Step 6: Final answer
    x = 10,174.59

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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.