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Finding the Fourth Proportional to 11,768.67, 17,656.44 and 4,745.07

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Solution

The fourth proportional to 11,768.67, 17,656.44 and 4,745.07 is: 7,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.67 : 17,656.44 = 4,745.07 : x
  2. Step 2: Convert to fraction form
    11,768.67/17,656.44 = 4,745.07/x
  3. Step 3: Cross multiply
    11,768.67x = 17,656.44 × 4,745.07
  4. Step 4: Simplify right side
    11,768.67x = 83,781,043.75
  5. Step 5: Solve for x
    x = 83,781,043.75/11,768.67
  6. Step 6: Final answer
    x = 7,118.99

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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.