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Finding the Fourth Proportional to 8,209.96, 11,326.08 and 5,380.36

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Solution

The fourth proportional to 8,209.96, 11,326.08 and 5,380.36 is: 7,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.96 : 11,326.08 = 5,380.36 : x
  2. Step 2: Convert to fraction form
    8,209.96/11,326.08 = 5,380.36/x
  3. Step 3: Cross multiply
    8,209.96x = 11,326.08 × 5,380.36
  4. Step 4: Simplify right side
    8,209.96x = 60,938,387.79
  5. Step 5: Solve for x
    x = 60,938,387.79/8,209.96
  6. Step 6: Final answer
    x = 7,422.50

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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.