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Finding the Fourth Proportional to 7,736.22, 10,676.03 and 4,199.49

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Solution

The fourth proportional to 7,736.22, 10,676.03 and 4,199.49 is: 5,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.22 : 10,676.03 = 4,199.49 : x
  2. Step 2: Convert to fraction form
    7,736.22/10,676.03 = 4,199.49/x
  3. Step 3: Cross multiply
    7,736.22x = 10,676.03 × 4,199.49
  4. Step 4: Simplify right side
    7,736.22x = 44,833,860.23
  5. Step 5: Solve for x
    x = 44,833,860.23/7,736.22
  6. Step 6: Final answer
    x = 5,795.32

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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.