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Finding the Fourth Proportional to 10,745.23, 14,833.56 and 6,768.49

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Solution

The fourth proportional to 10,745.23, 14,833.56 and 6,768.49 is: 9,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.23 : 14,833.56 = 6,768.49 : x
  2. Step 2: Convert to fraction form
    10,745.23/14,833.56 = 6,768.49/x
  3. Step 3: Cross multiply
    10,745.23x = 14,833.56 × 6,768.49
  4. Step 4: Simplify right side
    10,745.23x = 100,400,802.52
  5. Step 5: Solve for x
    x = 100,400,802.52/10,745.23
  6. Step 6: Final answer
    x = 9,343.76

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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.