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Finding the Fourth Proportional to 7,050.97, 10,576.46 and 1,785.98

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Solution

The fourth proportional to 7,050.97, 10,576.46 and 1,785.98 is: 2,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.97 : 10,576.46 = 1,785.98 : x
  2. Step 2: Convert to fraction form
    7,050.97/10,576.46 = 1,785.98/x
  3. Step 3: Cross multiply
    7,050.97x = 10,576.46 × 1,785.98
  4. Step 4: Simplify right side
    7,050.97x = 18,889,317.44
  5. Step 5: Solve for x
    x = 18,889,317.44/7,050.97
  6. Step 6: Final answer
    x = 2,678.97

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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.