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Finding the Fourth Proportional to 7,221.96, 10,832.94 and 2,838.24

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Solution

The fourth proportional to 7,221.96, 10,832.94 and 2,838.24 is: 4,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.96 : 10,832.94 = 2,838.24 : x
  2. Step 2: Convert to fraction form
    7,221.96/10,832.94 = 2,838.24/x
  3. Step 3: Cross multiply
    7,221.96x = 10,832.94 × 2,838.24
  4. Step 4: Simplify right side
    7,221.96x = 30,746,483.63
  5. Step 5: Solve for x
    x = 30,746,483.63/7,221.96
  6. Step 6: Final answer
    x = 4,257.36

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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.