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Finding the Fourth Proportional to 11,752.77, 17,627.13 and 3,319.86

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Solution

The fourth proportional to 11,752.77, 17,627.13 and 3,319.86 is: 4,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.77 : 17,627.13 = 3,319.86 : x
  2. Step 2: Convert to fraction form
    11,752.77/17,627.13 = 3,319.86/x
  3. Step 3: Cross multiply
    11,752.77x = 17,627.13 × 3,319.86
  4. Step 4: Simplify right side
    11,752.77x = 58,519,603.80
  5. Step 5: Solve for x
    x = 58,519,603.80/11,752.77
  6. Step 6: Final answer
    x = 4,979.22

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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.