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Finding the Fourth Proportional to 6,760.41, 10,139.22 and 1,828.89

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Solution

The fourth proportional to 6,760.41, 10,139.22 and 1,828.89 is: 2,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.41 : 10,139.22 = 1,828.89 : x
  2. Step 2: Convert to fraction form
    6,760.41/10,139.22 = 1,828.89/x
  3. Step 3: Cross multiply
    6,760.41x = 10,139.22 × 1,828.89
  4. Step 4: Simplify right side
    6,760.41x = 18,543,518.07
  5. Step 5: Solve for x
    x = 18,543,518.07/6,760.41
  6. Step 6: Final answer
    x = 2,742.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.