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Finding the Fourth Proportional to 8,179.48, 11,281.98 and 6,183.64

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Solution

The fourth proportional to 8,179.48, 11,281.98 and 6,183.64 is: 8,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.48 : 11,281.98 = 6,183.64 : x
  2. Step 2: Convert to fraction form
    8,179.48/11,281.98 = 6,183.64/x
  3. Step 3: Cross multiply
    8,179.48x = 11,281.98 × 6,183.64
  4. Step 4: Simplify right side
    8,179.48x = 69,763,702.81
  5. Step 5: Solve for x
    x = 69,763,702.81/8,179.48
  6. Step 6: Final answer
    x = 8,529.11

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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.