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Finding the Fourth Proportional to 6,817.71, 10,226.80 and 1,886.94

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Solution

The fourth proportional to 6,817.71, 10,226.80 and 1,886.94 is: 2,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.71 : 10,226.80 = 1,886.94 : x
  2. Step 2: Convert to fraction form
    6,817.71/10,226.80 = 1,886.94/x
  3. Step 3: Cross multiply
    6,817.71x = 10,226.80 × 1,886.94
  4. Step 4: Simplify right side
    6,817.71x = 19,297,357.99
  5. Step 5: Solve for x
    x = 19,297,357.99/6,817.71
  6. Step 6: Final answer
    x = 2,830.48

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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.