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Finding the Fourth Proportional to 6,855.81, 10,283.75 and 1,661.69

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Solution

The fourth proportional to 6,855.81, 10,283.75 and 1,661.69 is: 2,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.81 : 10,283.75 = 1,661.69 : x
  2. Step 2: Convert to fraction form
    6,855.81/10,283.75 = 1,661.69/x
  3. Step 3: Cross multiply
    6,855.81x = 10,283.75 × 1,661.69
  4. Step 4: Simplify right side
    6,855.81x = 17,088,404.54
  5. Step 5: Solve for x
    x = 17,088,404.54/6,855.81
  6. Step 6: Final answer
    x = 2,492.54

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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.