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Finding the Fourth Proportional to 11,897.62, 17,857.50 and 6,058.60

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Solution

The fourth proportional to 11,897.62, 17,857.50 and 6,058.60 is: 9,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.62 : 17,857.50 = 6,058.60 : x
  2. Step 2: Convert to fraction form
    11,897.62/17,857.50 = 6,058.60/x
  3. Step 3: Cross multiply
    11,897.62x = 17,857.50 × 6,058.60
  4. Step 4: Simplify right side
    11,897.62x = 108,191,449.50
  5. Step 5: Solve for x
    x = 108,191,449.50/11,897.62
  6. Step 6: Final answer
    x = 9,093.54

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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.