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Finding the Fourth Proportional to 8,383.91, 12,580.47 and 5,099.31

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Solution

The fourth proportional to 8,383.91, 12,580.47 and 5,099.31 is: 7,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.91 : 12,580.47 = 5,099.31 : x
  2. Step 2: Convert to fraction form
    8,383.91/12,580.47 = 5,099.31/x
  3. Step 3: Cross multiply
    8,383.91x = 12,580.47 × 5,099.31
  4. Step 4: Simplify right side
    8,383.91x = 64,151,716.48
  5. Step 5: Solve for x
    x = 64,151,716.48/8,383.91
  6. Step 6: Final answer
    x = 7,651.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.