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Finding the Fourth Proportional to 8,323.53, 11,481.12 and 5,091.84

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Solution

The fourth proportional to 8,323.53, 11,481.12 and 5,091.84 is: 7,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.53 : 11,481.12 = 5,091.84 : x
  2. Step 2: Convert to fraction form
    8,323.53/11,481.12 = 5,091.84/x
  3. Step 3: Cross multiply
    8,323.53x = 11,481.12 × 5,091.84
  4. Step 4: Simplify right side
    8,323.53x = 58,460,011.67
  5. Step 5: Solve for x
    x = 58,460,011.67/8,323.53
  6. Step 6: Final answer
    x = 7,023.47

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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.