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Finding the Fourth Proportional to 7,121.71, 10,683.78 and 3,174.40

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Solution

The fourth proportional to 7,121.71, 10,683.78 and 3,174.40 is: 4,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.71 : 10,683.78 = 3,174.40 : x
  2. Step 2: Convert to fraction form
    7,121.71/10,683.78 = 3,174.40/x
  3. Step 3: Cross multiply
    7,121.71x = 10,683.78 × 3,174.40
  4. Step 4: Simplify right side
    7,121.71x = 33,914,591.23
  5. Step 5: Solve for x
    x = 33,914,591.23/7,121.71
  6. Step 6: Final answer
    x = 4,762.14

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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.