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Finding the Fourth Proportional to 8,402.41, 11,594.96 and 4,625.82

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Solution

The fourth proportional to 8,402.41, 11,594.96 and 4,625.82 is: 6,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.41 : 11,594.96 = 4,625.82 : x
  2. Step 2: Convert to fraction form
    8,402.41/11,594.96 = 4,625.82/x
  3. Step 3: Cross multiply
    8,402.41x = 11,594.96 × 4,625.82
  4. Step 4: Simplify right side
    8,402.41x = 53,636,197.87
  5. Step 5: Solve for x
    x = 53,636,197.87/8,402.41
  6. Step 6: Final answer
    x = 6,383.43

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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.