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Finding the Fourth Proportional to 8,084.53, 12,128.01 and 2,890

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Solution

The fourth proportional to 8,084.53, 12,128.01 and 2,890 is: 4,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.53 : 12,128.01 = 2,890 : x
  2. Step 2: Convert to fraction form
    8,084.53/12,128.01 = 2,890/x
  3. Step 3: Cross multiply
    8,084.53x = 12,128.01 × 2,890
  4. Step 4: Simplify right side
    8,084.53x = 35,049,948.90
  5. Step 5: Solve for x
    x = 35,049,948.90/8,084.53
  6. Step 6: Final answer
    x = 4,335.43

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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.