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Finding the Fourth Proportional to 8,502.83, 11,728.61 and 5,845.63

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Solution

The fourth proportional to 8,502.83, 11,728.61 and 5,845.63 is: 8,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.83 : 11,728.61 = 5,845.63 : x
  2. Step 2: Convert to fraction form
    8,502.83/11,728.61 = 5,845.63/x
  3. Step 3: Cross multiply
    8,502.83x = 11,728.61 × 5,845.63
  4. Step 4: Simplify right side
    8,502.83x = 68,561,099.77
  5. Step 5: Solve for x
    x = 68,561,099.77/8,502.83
  6. Step 6: Final answer
    x = 8,063.32

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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.