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Finding the Fourth Proportional to 6,929.64, 10,375.83 and 5,278.32

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Solution

The fourth proportional to 6,929.64, 10,375.83 and 5,278.32 is: 7,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.64 : 10,375.83 = 5,278.32 : x
  2. Step 2: Convert to fraction form
    6,929.64/10,375.83 = 5,278.32/x
  3. Step 3: Cross multiply
    6,929.64x = 10,375.83 × 5,278.32
  4. Step 4: Simplify right side
    6,929.64x = 54,766,951.01
  5. Step 5: Solve for x
    x = 54,766,951.01/6,929.64
  6. Step 6: Final answer
    x = 7,903.29

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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.