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Finding the Fourth Proportional to 8,282.72, 11,430.96 and 6,183.20

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Solution

The fourth proportional to 8,282.72, 11,430.96 and 6,183.20 is: 8,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.72 : 11,430.96 = 6,183.20 : x
  2. Step 2: Convert to fraction form
    8,282.72/11,430.96 = 6,183.20/x
  3. Step 3: Cross multiply
    8,282.72x = 11,430.96 × 6,183.20
  4. Step 4: Simplify right side
    8,282.72x = 70,679,911.87
  5. Step 5: Solve for x
    x = 70,679,911.87/8,282.72
  6. Step 6: Final answer
    x = 8,533.42

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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.