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Finding the Fourth Proportional to 7,663.50, 11,487.07 and 4,369.50

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Solution

The fourth proportional to 7,663.50, 11,487.07 and 4,369.50 is: 6,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.50 : 11,487.07 = 4,369.50 : x
  2. Step 2: Convert to fraction form
    7,663.50/11,487.07 = 4,369.50/x
  3. Step 3: Cross multiply
    7,663.50x = 11,487.07 × 4,369.50
  4. Step 4: Simplify right side
    7,663.50x = 50,192,752.37
  5. Step 5: Solve for x
    x = 50,192,752.37/7,663.50
  6. Step 6: Final answer
    x = 6,549.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.