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Finding the Fourth Proportional to 7,467.60, 10,305.78 and 4,945.33

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Solution

The fourth proportional to 7,467.60, 10,305.78 and 4,945.33 is: 6,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.60 : 10,305.78 = 4,945.33 : x
  2. Step 2: Convert to fraction form
    7,467.60/10,305.78 = 4,945.33/x
  3. Step 3: Cross multiply
    7,467.60x = 10,305.78 × 4,945.33
  4. Step 4: Simplify right side
    7,467.60x = 50,965,483.01
  5. Step 5: Solve for x
    x = 50,965,483.01/7,467.60
  6. Step 6: Final answer
    x = 6,824.88

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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.