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Finding the Fourth Proportional to 11,598.50, 17,383.48 and 5,349.83

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Solution

The fourth proportional to 11,598.50, 17,383.48 and 5,349.83 is: 8,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.50 : 17,383.48 = 5,349.83 : x
  2. Step 2: Convert to fraction form
    11,598.50/17,383.48 = 5,349.83/x
  3. Step 3: Cross multiply
    11,598.50x = 17,383.48 × 5,349.83
  4. Step 4: Simplify right side
    11,598.50x = 92,998,662.81
  5. Step 5: Solve for x
    x = 92,998,662.81/11,598.50
  6. Step 6: Final answer
    x = 8,018.16

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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.