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Finding the Fourth Proportional to 7,828.62, 11,735.50 and 2,894.91

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Solution

The fourth proportional to 7,828.62, 11,735.50 and 2,894.91 is: 4,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.62 : 11,735.50 = 2,894.91 : x
  2. Step 2: Convert to fraction form
    7,828.62/11,735.50 = 2,894.91/x
  3. Step 3: Cross multiply
    7,828.62x = 11,735.50 × 2,894.91
  4. Step 4: Simplify right side
    7,828.62x = 33,973,150.39
  5. Step 5: Solve for x
    x = 33,973,150.39/7,828.62
  6. Step 6: Final answer
    x = 4,339.61

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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.