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Finding the Fourth Proportional to 7,084.75, 10,627.14 and 3,386.14

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Solution

The fourth proportional to 7,084.75, 10,627.14 and 3,386.14 is: 5,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.75 : 10,627.14 = 3,386.14 : x
  2. Step 2: Convert to fraction form
    7,084.75/10,627.14 = 3,386.14/x
  3. Step 3: Cross multiply
    7,084.75x = 10,627.14 × 3,386.14
  4. Step 4: Simplify right side
    7,084.75x = 35,984,930.70
  5. Step 5: Solve for x
    x = 35,984,930.70/7,084.75
  6. Step 6: Final answer
    x = 5,079.21

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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.