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Finding the Fourth Proportional to 7,940.48, 11,906.80 and 3,259.24

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Solution

The fourth proportional to 7,940.48, 11,906.80 and 3,259.24 is: 4,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.48 : 11,906.80 = 3,259.24 : x
  2. Step 2: Convert to fraction form
    7,940.48/11,906.80 = 3,259.24/x
  3. Step 3: Cross multiply
    7,940.48x = 11,906.80 × 3,259.24
  4. Step 4: Simplify right side
    7,940.48x = 38,807,118.83
  5. Step 5: Solve for x
    x = 38,807,118.83/7,940.48
  6. Step 6: Final answer
    x = 4,887.25

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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.