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Finding the Fourth Proportional to 7,594.36, 11,394.27 and 3,212.16

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Solution

The fourth proportional to 7,594.36, 11,394.27 and 3,212.16 is: 4,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.36 : 11,394.27 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    7,594.36/11,394.27 = 3,212.16/x
  3. Step 3: Cross multiply
    7,594.36x = 11,394.27 × 3,212.16
  4. Step 4: Simplify right side
    7,594.36x = 36,600,175.59
  5. Step 5: Solve for x
    x = 36,600,175.59/7,594.36
  6. Step 6: Final answer
    x = 4,819.39

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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.