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Finding the Fourth Proportional to 8,183.57, 11,294.51 and 4,827.47

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Solution

The fourth proportional to 8,183.57, 11,294.51 and 4,827.47 is: 6,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.57 : 11,294.51 = 4,827.47 : x
  2. Step 2: Convert to fraction form
    8,183.57/11,294.51 = 4,827.47/x
  3. Step 3: Cross multiply
    8,183.57x = 11,294.51 × 4,827.47
  4. Step 4: Simplify right side
    8,183.57x = 54,523,827.58
  5. Step 5: Solve for x
    x = 54,523,827.58/8,183.57
  6. Step 6: Final answer
    x = 6,662.60

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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.