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Finding the Fourth Proportional to 10,745.68, 14,823.56 and 6,759.24

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Solution

The fourth proportional to 10,745.68, 14,823.56 and 6,759.24 is: 9,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.68 : 14,823.56 = 6,759.24 : x
  2. Step 2: Convert to fraction form
    10,745.68/14,823.56 = 6,759.24/x
  3. Step 3: Cross multiply
    10,745.68x = 14,823.56 × 6,759.24
  4. Step 4: Simplify right side
    10,745.68x = 100,195,999.69
  5. Step 5: Solve for x
    x = 100,195,999.69/10,745.68
  6. Step 6: Final answer
    x = 9,324.31

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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.