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Finding the Fourth Proportional to 7,723.72, 10,664.58 and 4,743.64

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Solution

The fourth proportional to 7,723.72, 10,664.58 and 4,743.64 is: 6,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.72 : 10,664.58 = 4,743.64 : x
  2. Step 2: Convert to fraction form
    7,723.72/10,664.58 = 4,743.64/x
  3. Step 3: Cross multiply
    7,723.72x = 10,664.58 × 4,743.64
  4. Step 4: Simplify right side
    7,723.72x = 50,588,928.27
  5. Step 5: Solve for x
    x = 50,588,928.27/7,723.72
  6. Step 6: Final answer
    x = 6,549.81

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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.