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Finding the Fourth Proportional to 7,734.27, 10,668.34 and 5,340.20

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Solution

The fourth proportional to 7,734.27, 10,668.34 and 5,340.20 is: 7,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.27 : 10,668.34 = 5,340.20 : x
  2. Step 2: Convert to fraction form
    7,734.27/10,668.34 = 5,340.20/x
  3. Step 3: Cross multiply
    7,734.27x = 10,668.34 × 5,340.20
  4. Step 4: Simplify right side
    7,734.27x = 56,971,022.60
  5. Step 5: Solve for x
    x = 56,971,022.60/7,734.27
  6. Step 6: Final answer
    x = 7,366.05

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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.