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Finding the Fourth Proportional to 7,736.37, 10,676.07 and 4,199.55

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Solution

The fourth proportional to 7,736.37, 10,676.07 and 4,199.55 is: 5,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.37 : 10,676.07 = 4,199.55 : x
  2. Step 2: Convert to fraction form
    7,736.37/10,676.07 = 4,199.55/x
  3. Step 3: Cross multiply
    7,736.37x = 10,676.07 × 4,199.55
  4. Step 4: Simplify right side
    7,736.37x = 44,834,689.77
  5. Step 5: Solve for x
    x = 44,834,689.77/7,736.37
  6. Step 6: Final answer
    x = 5,795.31

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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.