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Finding the Fourth Proportional to 7,623.81, 10,506.69 and 5,234.49

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Solution

The fourth proportional to 7,623.81, 10,506.69 and 5,234.49 is: 7,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,623.81 : 10,506.69 = 5,234.49 : x
  2. Step 2: Convert to fraction form
    7,623.81/10,506.69 = 5,234.49/x
  3. Step 3: Cross multiply
    7,623.81x = 10,506.69 × 5,234.49
  4. Step 4: Simplify right side
    7,623.81x = 54,997,163.74
  5. Step 5: Solve for x
    x = 54,997,163.74/7,623.81
  6. Step 6: Final answer
    x = 7,213.87

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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.