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Finding the Fourth Proportional to 7,680, 11,522.70 and 3,787.14

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Solution

The fourth proportional to 7,680, 11,522.70 and 3,787.14 is: 5,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680 : 11,522.70 = 3,787.14 : x
  2. Step 2: Convert to fraction form
    7,680/11,522.70 = 3,787.14/x
  3. Step 3: Cross multiply
    7,680x = 11,522.70 × 3,787.14
  4. Step 4: Simplify right side
    7,680x = 43,638,078.08
  5. Step 5: Solve for x
    x = 43,638,078.08/7,680
  6. Step 6: Final answer
    x = 5,682.04

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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.