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Finding the Fourth Proportional to 11,588.35, 17,369.10 and 5,335.24

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Solution

The fourth proportional to 11,588.35, 17,369.10 and 5,335.24 is: 7,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.35 : 17,369.10 = 5,335.24 : x
  2. Step 2: Convert to fraction form
    11,588.35/17,369.10 = 5,335.24/x
  3. Step 3: Cross multiply
    11,588.35x = 17,369.10 × 5,335.24
  4. Step 4: Simplify right side
    11,588.35x = 92,668,317.08
  5. Step 5: Solve for x
    x = 92,668,317.08/11,588.35
  6. Step 6: Final answer
    x = 7,996.68

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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.