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Finding the Fourth Proportional to 11,610.56, 17,415.76 and 4,684.96

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Solution

The fourth proportional to 11,610.56, 17,415.76 and 4,684.96 is: 7,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.56 : 17,415.76 = 4,684.96 : x
  2. Step 2: Convert to fraction form
    11,610.56/17,415.76 = 4,684.96/x
  3. Step 3: Cross multiply
    11,610.56x = 17,415.76 × 4,684.96
  4. Step 4: Simplify right side
    11,610.56x = 81,592,138.97
  5. Step 5: Solve for x
    x = 81,592,138.97/11,610.56
  6. Step 6: Final answer
    x = 7,027.41

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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.