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Finding the Fourth Proportional to 11,857.01, 17,788.75 and 4,832.69

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Solution

The fourth proportional to 11,857.01, 17,788.75 and 4,832.69 is: 7,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.01 : 17,788.75 = 4,832.69 : x
  2. Step 2: Convert to fraction form
    11,857.01/17,788.75 = 4,832.69/x
  3. Step 3: Cross multiply
    11,857.01x = 17,788.75 × 4,832.69
  4. Step 4: Simplify right side
    11,857.01x = 85,967,413.21
  5. Step 5: Solve for x
    x = 85,967,413.21/11,857.01
  6. Step 6: Final answer
    x = 7,250.35

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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.