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Finding the Fourth Proportional to 7,771.16, 10,728.26 and 6,042.62

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Solution

The fourth proportional to 7,771.16, 10,728.26 and 6,042.62 is: 8,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.16 : 10,728.26 = 6,042.62 : x
  2. Step 2: Convert to fraction form
    7,771.16/10,728.26 = 6,042.62/x
  3. Step 3: Cross multiply
    7,771.16x = 10,728.26 × 6,042.62
  4. Step 4: Simplify right side
    7,771.16x = 64,826,798.44
  5. Step 5: Solve for x
    x = 64,826,798.44/7,771.16
  6. Step 6: Final answer
    x = 8,341.97

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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.