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Finding the Fourth Proportional to 11,812.38, 17,708.51 and 5,234.98

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Solution

The fourth proportional to 11,812.38, 17,708.51 and 5,234.98 is: 7,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.38 : 17,708.51 = 5,234.98 : x
  2. Step 2: Convert to fraction form
    11,812.38/17,708.51 = 5,234.98/x
  3. Step 3: Cross multiply
    11,812.38x = 17,708.51 × 5,234.98
  4. Step 4: Simplify right side
    11,812.38x = 92,703,664.50
  5. Step 5: Solve for x
    x = 92,703,664.50/11,812.38
  6. Step 6: Final answer
    x = 7,848.01

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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.