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Finding the Fourth Proportional to 7,927.80, 10,906.83 and 7,709.10

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Solution

The fourth proportional to 7,927.80, 10,906.83 and 7,709.10 is: 10,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.80 : 10,906.83 = 7,709.10 : x
  2. Step 2: Convert to fraction form
    7,927.80/10,906.83 = 7,709.10/x
  3. Step 3: Cross multiply
    7,927.80x = 10,906.83 × 7,709.10
  4. Step 4: Simplify right side
    7,927.80x = 84,081,843.15
  5. Step 5: Solve for x
    x = 84,081,843.15/7,927.80
  6. Step 6: Final answer
    x = 10,605.95

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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.