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Finding the Fourth Proportional to 6,855.42, 10,283.14 and 1,661.28

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Solution

The fourth proportional to 6,855.42, 10,283.14 and 1,661.28 is: 2,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.42 : 10,283.14 = 1,661.28 : x
  2. Step 2: Convert to fraction form
    6,855.42/10,283.14 = 1,661.28/x
  3. Step 3: Cross multiply
    6,855.42x = 10,283.14 × 1,661.28
  4. Step 4: Simplify right side
    6,855.42x = 17,083,174.82
  5. Step 5: Solve for x
    x = 17,083,174.82/6,855.42
  6. Step 6: Final answer
    x = 2,491.92

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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.