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Finding the Fourth Proportional to 8,340.96, 11,504.12 and 5,822.27

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Solution

The fourth proportional to 8,340.96, 11,504.12 and 5,822.27 is: 8,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.96 : 11,504.12 = 5,822.27 : x
  2. Step 2: Convert to fraction form
    8,340.96/11,504.12 = 5,822.27/x
  3. Step 3: Cross multiply
    8,340.96x = 11,504.12 × 5,822.27
  4. Step 4: Simplify right side
    8,340.96x = 66,980,006.12
  5. Step 5: Solve for x
    x = 66,980,006.12/8,340.96
  6. Step 6: Final answer
    x = 8,030.25

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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.