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Finding the Fourth Proportional to 11,601.94, 16,002.75 and 7,408.30

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Solution

The fourth proportional to 11,601.94, 16,002.75 and 7,408.30 is: 10,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.94 : 16,002.75 = 7,408.30 : x
  2. Step 2: Convert to fraction form
    11,601.94/16,002.75 = 7,408.30/x
  3. Step 3: Cross multiply
    11,601.94x = 16,002.75 × 7,408.30
  4. Step 4: Simplify right side
    11,601.94x = 118,553,172.83
  5. Step 5: Solve for x
    x = 118,553,172.83/11,601.94
  6. Step 6: Final answer
    x = 10,218.39

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Why These Related Problems?

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