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Finding the Fourth Proportional to 7,730.91, 10,668.61 and 4,194.05

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Solution

The fourth proportional to 7,730.91, 10,668.61 and 4,194.05 is: 5,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.91 : 10,668.61 = 4,194.05 : x
  2. Step 2: Convert to fraction form
    7,730.91/10,668.61 = 4,194.05/x
  3. Step 3: Cross multiply
    7,730.91x = 10,668.61 × 4,194.05
  4. Step 4: Simplify right side
    7,730.91x = 44,744,635.67
  5. Step 5: Solve for x
    x = 44,744,635.67/7,730.91
  6. Step 6: Final answer
    x = 5,787.76

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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.