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Finding the Fourth Proportional to 8,390.30, 11,577.92 and 4,940.33

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Solution

The fourth proportional to 8,390.30, 11,577.92 and 4,940.33 is: 6,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.30 : 11,577.92 = 4,940.33 : x
  2. Step 2: Convert to fraction form
    8,390.30/11,577.92 = 4,940.33/x
  3. Step 3: Cross multiply
    8,390.30x = 11,577.92 × 4,940.33
  4. Step 4: Simplify right side
    8,390.30x = 57,198,786.81
  5. Step 5: Solve for x
    x = 57,198,786.81/8,390.30
  6. Step 6: Final answer
    x = 6,817.26

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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.