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Finding the Fourth Proportional to 6,537.53, 9,805.73 and 1,857.80

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Solution

The fourth proportional to 6,537.53, 9,805.73 and 1,857.80 is: 2,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.53 : 9,805.73 = 1,857.80 : x
  2. Step 2: Convert to fraction form
    6,537.53/9,805.73 = 1,857.80/x
  3. Step 3: Cross multiply
    6,537.53x = 9,805.73 × 1,857.80
  4. Step 4: Simplify right side
    6,537.53x = 18,217,026.88
  5. Step 5: Solve for x
    x = 18,217,026.88/6,537.53
  6. Step 6: Final answer
    x = 2,786.53

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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.