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Finding the Fourth Proportional to 11,388.42, 17,098.38 and 5,845.50

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Solution

The fourth proportional to 11,388.42, 17,098.38 and 5,845.50 is: 8,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.42 : 17,098.38 = 5,845.50 : x
  2. Step 2: Convert to fraction form
    11,388.42/17,098.38 = 5,845.50/x
  3. Step 3: Cross multiply
    11,388.42x = 17,098.38 × 5,845.50
  4. Step 4: Simplify right side
    11,388.42x = 99,948,580.29
  5. Step 5: Solve for x
    x = 99,948,580.29/11,388.42
  6. Step 6: Final answer
    x = 8,776.33

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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.