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Finding the Fourth Proportional to 6,925.64, 10,388.66 and 2,546.37

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Solution

The fourth proportional to 6,925.64, 10,388.66 and 2,546.37 is: 3,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.64 : 10,388.66 = 2,546.37 : x
  2. Step 2: Convert to fraction form
    6,925.64/10,388.66 = 2,546.37/x
  3. Step 3: Cross multiply
    6,925.64x = 10,388.66 × 2,546.37
  4. Step 4: Simplify right side
    6,925.64x = 26,453,359.43
  5. Step 5: Solve for x
    x = 26,453,359.43/6,925.64
  6. Step 6: Final answer
    x = 3,819.63

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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.