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Finding the Fourth Proportional to 7,771.08, 10,723.86 and 4,414.20

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Solution

The fourth proportional to 7,771.08, 10,723.86 and 4,414.20 is: 6,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.08 : 10,723.86 = 4,414.20 : x
  2. Step 2: Convert to fraction form
    7,771.08/10,723.86 = 4,414.20/x
  3. Step 3: Cross multiply
    7,771.08x = 10,723.86 × 4,414.20
  4. Step 4: Simplify right side
    7,771.08x = 47,337,262.81
  5. Step 5: Solve for x
    x = 47,337,262.81/7,771.08
  6. Step 6: Final answer
    x = 6,091.47

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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.