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Finding the Fourth Proportional to 7,745.07, 10,680.33 and 6,629.70

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Solution

The fourth proportional to 7,745.07, 10,680.33 and 6,629.70 is: 9,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.07 : 10,680.33 = 6,629.70 : x
  2. Step 2: Convert to fraction form
    7,745.07/10,680.33 = 6,629.70/x
  3. Step 3: Cross multiply
    7,745.07x = 10,680.33 × 6,629.70
  4. Step 4: Simplify right side
    7,745.07x = 70,807,383.80
  5. Step 5: Solve for x
    x = 70,807,383.80/7,745.07
  6. Step 6: Final answer
    x = 9,142.25

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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.