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Finding the Fourth Proportional to 8,162.84, 11,261.48 and 5,329.31

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Solution

The fourth proportional to 8,162.84, 11,261.48 and 5,329.31 is: 7,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.84 : 11,261.48 = 5,329.31 : x
  2. Step 2: Convert to fraction form
    8,162.84/11,261.48 = 5,329.31/x
  3. Step 3: Cross multiply
    8,162.84x = 11,261.48 × 5,329.31
  4. Step 4: Simplify right side
    8,162.84x = 60,015,835.02
  5. Step 5: Solve for x
    x = 60,015,835.02/8,162.84
  6. Step 6: Final answer
    x = 7,352.33

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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.