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Finding the Fourth Proportional to 6,683.85, 10,022.13 and 3,567.38

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Solution

The fourth proportional to 6,683.85, 10,022.13 and 3,567.38 is: 5,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.85 : 10,022.13 = 3,567.38 : x
  2. Step 2: Convert to fraction form
    6,683.85/10,022.13 = 3,567.38/x
  3. Step 3: Cross multiply
    6,683.85x = 10,022.13 × 3,567.38
  4. Step 4: Simplify right side
    6,683.85x = 35,752,696.01
  5. Step 5: Solve for x
    x = 35,752,696.01/6,683.85
  6. Step 6: Final answer
    x = 5,349.12

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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.