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Finding the Fourth Proportional to 6,817.82, 10,225.53 and 1,820.26

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Solution

The fourth proportional to 6,817.82, 10,225.53 and 1,820.26 is: 2,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.82 : 10,225.53 = 1,820.26 : x
  2. Step 2: Convert to fraction form
    6,817.82/10,225.53 = 1,820.26/x
  3. Step 3: Cross multiply
    6,817.82x = 10,225.53 × 1,820.26
  4. Step 4: Simplify right side
    6,817.82x = 18,613,072.11
  5. Step 5: Solve for x
    x = 18,613,072.11/6,817.82
  6. Step 6: Final answer
    x = 2,730.06

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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.