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Finding the Fourth Proportional to 8,812.50, 13,231.36 and 7,729.94

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Solution

The fourth proportional to 8,812.50, 13,231.36 and 7,729.94 is: 11,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.50 : 13,231.36 = 7,729.94 : x
  2. Step 2: Convert to fraction form
    8,812.50/13,231.36 = 7,729.94/x
  3. Step 3: Cross multiply
    8,812.50x = 13,231.36 × 7,729.94
  4. Step 4: Simplify right side
    8,812.50x = 102,277,618.92
  5. Step 5: Solve for x
    x = 102,277,618.92/8,812.50
  6. Step 6: Final answer
    x = 11,605.97

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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.