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Finding the Fourth Proportional to 7,730.30, 11,594.84 and 2,183.42

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Solution

The fourth proportional to 7,730.30, 11,594.84 and 2,183.42 is: 3,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.30 : 11,594.84 = 2,183.42 : x
  2. Step 2: Convert to fraction form
    7,730.30/11,594.84 = 2,183.42/x
  3. Step 3: Cross multiply
    7,730.30x = 11,594.84 × 2,183.42
  4. Step 4: Simplify right side
    7,730.30x = 25,316,336.66
  5. Step 5: Solve for x
    x = 25,316,336.66/7,730.30
  6. Step 6: Final answer
    x = 3,274.95

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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.