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Finding the Fourth Proportional to 6,976.98, 10,465.49 and 4,906.25

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Solution

The fourth proportional to 6,976.98, 10,465.49 and 4,906.25 is: 7,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.98 : 10,465.49 = 4,906.25 : x
  2. Step 2: Convert to fraction form
    6,976.98/10,465.49 = 4,906.25/x
  3. Step 3: Cross multiply
    6,976.98x = 10,465.49 × 4,906.25
  4. Step 4: Simplify right side
    6,976.98x = 51,346,310.31
  5. Step 5: Solve for x
    x = 51,346,310.31/6,976.98
  6. Step 6: Final answer
    x = 7,359.39

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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.