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Finding the Fourth Proportional to 8,402.62, 11,595.77 and 4,625.76

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Solution

The fourth proportional to 8,402.62, 11,595.77 and 4,625.76 is: 6,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.62 : 11,595.77 = 4,625.76 : x
  2. Step 2: Convert to fraction form
    8,402.62/11,595.77 = 4,625.76/x
  3. Step 3: Cross multiply
    8,402.62x = 11,595.77 × 4,625.76
  4. Step 4: Simplify right side
    8,402.62x = 53,639,249.04
  5. Step 5: Solve for x
    x = 53,639,249.04/8,402.62
  6. Step 6: Final answer
    x = 6,383.63

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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.