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Finding the Fourth Proportional to 11,707.75, 17,561.63 and 3,499.75

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Solution

The fourth proportional to 11,707.75, 17,561.63 and 3,499.75 is: 5,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.75 : 17,561.63 = 3,499.75 : x
  2. Step 2: Convert to fraction form
    11,707.75/17,561.63 = 3,499.75/x
  3. Step 3: Cross multiply
    11,707.75x = 17,561.63 × 3,499.75
  4. Step 4: Simplify right side
    11,707.75x = 61,461,314.59
  5. Step 5: Solve for x
    x = 61,461,314.59/11,707.75
  6. Step 6: Final answer
    x = 5,249.63

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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.