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Finding the Fourth Proportional to 11,600.39, 17,396.64 and 4,203.17

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Solution

The fourth proportional to 11,600.39, 17,396.64 and 4,203.17 is: 6,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.39 : 17,396.64 = 4,203.17 : x
  2. Step 2: Convert to fraction form
    11,600.39/17,396.64 = 4,203.17/x
  3. Step 3: Cross multiply
    11,600.39x = 17,396.64 × 4,203.17
  4. Step 4: Simplify right side
    11,600.39x = 73,121,035.35
  5. Step 5: Solve for x
    x = 73,121,035.35/11,600.39
  6. Step 6: Final answer
    x = 6,303.33

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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.