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Finding the Fourth Proportional to 7,736.42, 10,676.19 and 4,199.55

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Solution

The fourth proportional to 7,736.42, 10,676.19 and 4,199.55 is: 5,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.42 : 10,676.19 = 4,199.55 : x
  2. Step 2: Convert to fraction form
    7,736.42/10,676.19 = 4,199.55/x
  3. Step 3: Cross multiply
    7,736.42x = 10,676.19 × 4,199.55
  4. Step 4: Simplify right side
    7,736.42x = 44,835,193.71
  5. Step 5: Solve for x
    x = 44,835,193.71/7,736.42
  6. Step 6: Final answer
    x = 5,795.34

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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.