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Finding the Fourth Proportional to 7,647.42, 10,550.91 and 4,662.54

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Solution

The fourth proportional to 7,647.42, 10,550.91 and 4,662.54 is: 6,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.42 : 10,550.91 = 4,662.54 : x
  2. Step 2: Convert to fraction form
    7,647.42/10,550.91 = 4,662.54/x
  3. Step 3: Cross multiply
    7,647.42x = 10,550.91 × 4,662.54
  4. Step 4: Simplify right side
    7,647.42x = 49,194,039.91
  5. Step 5: Solve for x
    x = 49,194,039.91/7,647.42
  6. Step 6: Final answer
    x = 6,432.76

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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.