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Finding the Fourth Proportional to 11,855.62, 17,786.02 and 4,460.07

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Solution

The fourth proportional to 11,855.62, 17,786.02 and 4,460.07 is: 6,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.62 : 17,786.02 = 4,460.07 : x
  2. Step 2: Convert to fraction form
    11,855.62/17,786.02 = 4,460.07/x
  3. Step 3: Cross multiply
    11,855.62x = 17,786.02 × 4,460.07
  4. Step 4: Simplify right side
    11,855.62x = 79,326,883.07
  5. Step 5: Solve for x
    x = 79,326,883.07/11,855.62
  6. Step 6: Final answer
    x = 6,691.08

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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.