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Finding the Fourth Proportional to 8,099.63, 11,182.34 and 5,309.99

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Solution

The fourth proportional to 8,099.63, 11,182.34 and 5,309.99 is: 7,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.63 : 11,182.34 = 5,309.99 : x
  2. Step 2: Convert to fraction form
    8,099.63/11,182.34 = 5,309.99/x
  3. Step 3: Cross multiply
    8,099.63x = 11,182.34 × 5,309.99
  4. Step 4: Simplify right side
    8,099.63x = 59,378,070.94
  5. Step 5: Solve for x
    x = 59,378,070.94/8,099.63
  6. Step 6: Final answer
    x = 7,330.97

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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.