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Finding the Fourth Proportional to 7,084.67, 10,627.05 and 2,154.29

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Solution

The fourth proportional to 7,084.67, 10,627.05 and 2,154.29 is: 3,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.67 : 10,627.05 = 2,154.29 : x
  2. Step 2: Convert to fraction form
    7,084.67/10,627.05 = 2,154.29/x
  3. Step 3: Cross multiply
    7,084.67x = 10,627.05 × 2,154.29
  4. Step 4: Simplify right side
    7,084.67x = 22,893,747.54
  5. Step 5: Solve for x
    x = 22,893,747.54/7,084.67
  6. Step 6: Final answer
    x = 3,231.45

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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.