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Finding the Fourth Proportional to 7,723.58, 10,658.72 and 4,366.46

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Solution

The fourth proportional to 7,723.58, 10,658.72 and 4,366.46 is: 6,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.58 : 10,658.72 = 4,366.46 : x
  2. Step 2: Convert to fraction form
    7,723.58/10,658.72 = 4,366.46/x
  3. Step 3: Cross multiply
    7,723.58x = 10,658.72 × 4,366.46
  4. Step 4: Simplify right side
    7,723.58x = 46,540,912.09
  5. Step 5: Solve for x
    x = 46,540,912.09/7,723.58
  6. Step 6: Final answer
    x = 6,025.83

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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.