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Finding the Fourth Proportional to 11,857.35, 17,786.33 and 5,615.90

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Solution

The fourth proportional to 11,857.35, 17,786.33 and 5,615.90 is: 8,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.35 : 17,786.33 = 5,615.90 : x
  2. Step 2: Convert to fraction form
    11,857.35/17,786.33 = 5,615.90/x
  3. Step 3: Cross multiply
    11,857.35x = 17,786.33 × 5,615.90
  4. Step 4: Simplify right side
    11,857.35x = 99,886,175.76
  5. Step 5: Solve for x
    x = 99,886,175.76/11,857.35
  6. Step 6: Final answer
    x = 8,423.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.