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Finding the Fourth Proportional to 11,661.77, 17,493.60 and 3,655.99

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Solution

The fourth proportional to 11,661.77, 17,493.60 and 3,655.99 is: 5,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.77 : 17,493.60 = 3,655.99 : x
  2. Step 2: Convert to fraction form
    11,661.77/17,493.60 = 3,655.99/x
  3. Step 3: Cross multiply
    11,661.77x = 17,493.60 × 3,655.99
  4. Step 4: Simplify right side
    11,661.77x = 63,956,408.38
  5. Step 5: Solve for x
    x = 63,956,408.38/11,661.77
  6. Step 6: Final answer
    x = 5,484.28

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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.