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Finding the Fourth Proportional to 7,664.41, 11,490.78 and 3,964.28

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Solution

The fourth proportional to 7,664.41, 11,490.78 and 3,964.28 is: 5,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.41 : 11,490.78 = 3,964.28 : x
  2. Step 2: Convert to fraction form
    7,664.41/11,490.78 = 3,964.28/x
  3. Step 3: Cross multiply
    7,664.41x = 11,490.78 × 3,964.28
  4. Step 4: Simplify right side
    7,664.41x = 45,552,698.07
  5. Step 5: Solve for x
    x = 45,552,698.07/7,664.41
  6. Step 6: Final answer
    x = 5,943.41

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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.