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Finding the Fourth Proportional to 7,932.87, 10,949.49 and 4,946.90

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Solution

The fourth proportional to 7,932.87, 10,949.49 and 4,946.90 is: 6,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.87 : 10,949.49 = 4,946.90 : x
  2. Step 2: Convert to fraction form
    7,932.87/10,949.49 = 4,946.90/x
  3. Step 3: Cross multiply
    7,932.87x = 10,949.49 × 4,946.90
  4. Step 4: Simplify right side
    7,932.87x = 54,165,977.33
  5. Step 5: Solve for x
    x = 54,165,977.33/7,932.87
  6. Step 6: Final answer
    x = 6,828.04

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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.