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Finding the Fourth Proportional to 7,954.32, 10,976.44 and 4,970

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Solution

The fourth proportional to 7,954.32, 10,976.44 and 4,970 is: 6,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.32 : 10,976.44 = 4,970 : x
  2. Step 2: Convert to fraction form
    7,954.32/10,976.44 = 4,970/x
  3. Step 3: Cross multiply
    7,954.32x = 10,976.44 × 4,970
  4. Step 4: Simplify right side
    7,954.32x = 54,552,906.80
  5. Step 5: Solve for x
    x = 54,552,906.80/7,954.32
  6. Step 6: Final answer
    x = 6,858.27

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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.