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Finding the Fourth Proportional to 12,761.50, 17,610.06 and 7,456

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Solution

The fourth proportional to 12,761.50, 17,610.06 and 7,456 is: 10,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.50 : 17,610.06 = 7,456 : x
  2. Step 2: Convert to fraction form
    12,761.50/17,610.06 = 7,456/x
  3. Step 3: Cross multiply
    12,761.50x = 17,610.06 × 7,456
  4. Step 4: Simplify right side
    12,761.50x = 131,300,607.36
  5. Step 5: Solve for x
    x = 131,300,607.36/12,761.50
  6. Step 6: Final answer
    x = 10,288.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.