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Finding the Fourth Proportional to 6,882.45, 10,323.54 and 4,662.33

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Solution

The fourth proportional to 6,882.45, 10,323.54 and 4,662.33 is: 6,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.45 : 10,323.54 = 4,662.33 : x
  2. Step 2: Convert to fraction form
    6,882.45/10,323.54 = 4,662.33/x
  3. Step 3: Cross multiply
    6,882.45x = 10,323.54 × 4,662.33
  4. Step 4: Simplify right side
    6,882.45x = 48,131,750.25
  5. Step 5: Solve for x
    x = 48,131,750.25/6,882.45
  6. Step 6: Final answer
    x = 6,993.40

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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.