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Finding the Fourth Proportional to 7,983.36, 11,018.16 and 4,447.44

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Solution

The fourth proportional to 7,983.36, 11,018.16 and 4,447.44 is: 6,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.36 : 11,018.16 = 4,447.44 : x
  2. Step 2: Convert to fraction form
    7,983.36/11,018.16 = 4,447.44/x
  3. Step 3: Cross multiply
    7,983.36x = 11,018.16 × 4,447.44
  4. Step 4: Simplify right side
    7,983.36x = 49,002,605.51
  5. Step 5: Solve for x
    x = 49,002,605.51/7,983.36
  6. Step 6: Final answer
    x = 6,138.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.