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Finding the Fourth Proportional to 7,736.65, 10,676.64 and 4,199.89

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Solution

The fourth proportional to 7,736.65, 10,676.64 and 4,199.89 is: 5,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.65 : 10,676.64 = 4,199.89 : x
  2. Step 2: Convert to fraction form
    7,736.65/10,676.64 = 4,199.89/x
  3. Step 3: Cross multiply
    7,736.65x = 10,676.64 × 4,199.89
  4. Step 4: Simplify right side
    7,736.65x = 44,840,713.57
  5. Step 5: Solve for x
    x = 44,840,713.57/7,736.65
  6. Step 6: Final answer
    x = 5,795.88

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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.