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Finding the Fourth Proportional to 11,640.61, 17,433.12 and 6,699.86

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Solution

The fourth proportional to 11,640.61, 17,433.12 and 6,699.86 is: 10,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.61 : 17,433.12 = 6,699.86 : x
  2. Step 2: Convert to fraction form
    11,640.61/17,433.12 = 6,699.86/x
  3. Step 3: Cross multiply
    11,640.61x = 17,433.12 × 6,699.86
  4. Step 4: Simplify right side
    11,640.61x = 116,799,564.76
  5. Step 5: Solve for x
    x = 116,799,564.76/11,640.61
  6. Step 6: Final answer
    x = 10,033.80

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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.