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Finding the Fourth Proportional to 8,408.43, 11,603.76 and 4,682.43

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Solution

The fourth proportional to 8,408.43, 11,603.76 and 4,682.43 is: 6,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.43 : 11,603.76 = 4,682.43 : x
  2. Step 2: Convert to fraction form
    8,408.43/11,603.76 = 4,682.43/x
  3. Step 3: Cross multiply
    8,408.43x = 11,603.76 × 4,682.43
  4. Step 4: Simplify right side
    8,408.43x = 54,333,793.94
  5. Step 5: Solve for x
    x = 54,333,793.94/8,408.43
  6. Step 6: Final answer
    x = 6,461.82

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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.