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Finding the Fourth Proportional to 11,603.91, 16,013.42 and 6,298.73

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Solution

The fourth proportional to 11,603.91, 16,013.42 and 6,298.73 is: 8,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.91 : 16,013.42 = 6,298.73 : x
  2. Step 2: Convert to fraction form
    11,603.91/16,013.42 = 6,298.73/x
  3. Step 3: Cross multiply
    11,603.91x = 16,013.42 × 6,298.73
  4. Step 4: Simplify right side
    11,603.91x = 100,864,157.45
  5. Step 5: Solve for x
    x = 100,864,157.45/11,603.91
  6. Step 6: Final answer
    x = 8,692.26

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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.