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Finding the Fourth Proportional to 7,736.71, 10,676.67 and 4,199.92

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Solution

The fourth proportional to 7,736.71, 10,676.67 and 4,199.92 is: 5,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.71 : 10,676.67 = 4,199.92 : x
  2. Step 2: Convert to fraction form
    7,736.71/10,676.67 = 4,199.92/x
  3. Step 3: Cross multiply
    7,736.71x = 10,676.67 × 4,199.92
  4. Step 4: Simplify right side
    7,736.71x = 44,841,159.87
  5. Step 5: Solve for x
    x = 44,841,159.87/7,736.71
  6. Step 6: Final answer
    x = 5,795.90

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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.