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Finding the Fourth Proportional to 11,610.54, 17,417.03 and 7,687.31

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Solution

The fourth proportional to 11,610.54, 17,417.03 and 7,687.31 is: 11,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.54 : 17,417.03 = 7,687.31 : x
  2. Step 2: Convert to fraction form
    11,610.54/17,417.03 = 7,687.31/x
  3. Step 3: Cross multiply
    11,610.54x = 17,417.03 × 7,687.31
  4. Step 4: Simplify right side
    11,610.54x = 133,889,983.37
  5. Step 5: Solve for x
    x = 133,889,983.37/11,610.54
  6. Step 6: Final answer
    x = 11,531.76

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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.