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Finding the Fourth Proportional to 7,997.94, 11,038.49 and 4,643.54

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Solution

The fourth proportional to 7,997.94, 11,038.49 and 4,643.54 is: 6,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.94 : 11,038.49 = 4,643.54 : x
  2. Step 2: Convert to fraction form
    7,997.94/11,038.49 = 4,643.54/x
  3. Step 3: Cross multiply
    7,997.94x = 11,038.49 × 4,643.54
  4. Step 4: Simplify right side
    7,997.94x = 51,257,669.85
  5. Step 5: Solve for x
    x = 51,257,669.85/7,997.94
  6. Step 6: Final answer
    x = 6,408.86

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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.