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Finding the Fourth Proportional to 7,211.36, 10,821.36 and 2,594.72

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Solution

The fourth proportional to 7,211.36, 10,821.36 and 2,594.72 is: 3,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.36 : 10,821.36 = 2,594.72 : x
  2. Step 2: Convert to fraction form
    7,211.36/10,821.36 = 2,594.72/x
  3. Step 3: Cross multiply
    7,211.36x = 10,821.36 × 2,594.72
  4. Step 4: Simplify right side
    7,211.36x = 28,078,399.22
  5. Step 5: Solve for x
    x = 28,078,399.22/7,211.36
  6. Step 6: Final answer
    x = 3,893.63

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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.