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Finding the Fourth Proportional to 11,762.90, 17,639.17 and 5,524.68

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Solution

The fourth proportional to 11,762.90, 17,639.17 and 5,524.68 is: 8,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.90 : 17,639.17 = 5,524.68 : x
  2. Step 2: Convert to fraction form
    11,762.90/17,639.17 = 5,524.68/x
  3. Step 3: Cross multiply
    11,762.90x = 17,639.17 × 5,524.68
  4. Step 4: Simplify right side
    11,762.90x = 97,450,755.90
  5. Step 5: Solve for x
    x = 97,450,755.90/11,762.90
  6. Step 6: Final answer
    x = 8,284.59

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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.