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Finding the Fourth Proportional to 7,736.65, 10,676.59 and 4,199.78

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Solution

The fourth proportional to 7,736.65, 10,676.59 and 4,199.78 is: 5,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.65 : 10,676.59 = 4,199.78 : x
  2. Step 2: Convert to fraction form
    7,736.65/10,676.59 = 4,199.78/x
  3. Step 3: Cross multiply
    7,736.65x = 10,676.59 × 4,199.78
  4. Step 4: Simplify right side
    7,736.65x = 44,839,345.34
  5. Step 5: Solve for x
    x = 44,839,345.34/7,736.65
  6. Step 6: Final answer
    x = 5,795.71

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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.