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Finding the Fourth Proportional to 8,400.82, 11,593.17 and 4,624.36

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Solution

The fourth proportional to 8,400.82, 11,593.17 and 4,624.36 is: 6,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.82 : 11,593.17 = 4,624.36 : x
  2. Step 2: Convert to fraction form
    8,400.82/11,593.17 = 4,624.36/x
  3. Step 3: Cross multiply
    8,400.82x = 11,593.17 × 4,624.36
  4. Step 4: Simplify right side
    8,400.82x = 53,611,006.11
  5. Step 5: Solve for x
    x = 53,611,006.11/8,400.82
  6. Step 6: Final answer
    x = 6,381.64

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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.