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Finding the Fourth Proportional to 7,654.20, 11,487.06 and 5,183.16

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Solution

The fourth proportional to 7,654.20, 11,487.06 and 5,183.16 is: 7,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.20 : 11,487.06 = 5,183.16 : x
  2. Step 2: Convert to fraction form
    7,654.20/11,487.06 = 5,183.16/x
  3. Step 3: Cross multiply
    7,654.20x = 11,487.06 × 5,183.16
  4. Step 4: Simplify right side
    7,654.20x = 59,539,269.91
  5. Step 5: Solve for x
    x = 59,539,269.91/7,654.20
  6. Step 6: Final answer
    x = 7,778.64

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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.