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Finding the Fourth Proportional to 11,786.61, 17,687.61 and 4,396.98

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Solution

The fourth proportional to 11,786.61, 17,687.61 and 4,396.98 is: 6,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.61 : 17,687.61 = 4,396.98 : x
  2. Step 2: Convert to fraction form
    11,786.61/17,687.61 = 4,396.98/x
  3. Step 3: Cross multiply
    11,786.61x = 17,687.61 × 4,396.98
  4. Step 4: Simplify right side
    11,786.61x = 77,771,956.99
  5. Step 5: Solve for x
    x = 77,771,956.99/11,786.61
  6. Step 6: Final answer
    x = 6,598.33

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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.