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Finding the Fourth Proportional to 7,221.54, 10,834.72 and 3,323

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Solution

The fourth proportional to 7,221.54, 10,834.72 and 3,323 is: 4,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.54 : 10,834.72 = 3,323 : x
  2. Step 2: Convert to fraction form
    7,221.54/10,834.72 = 3,323/x
  3. Step 3: Cross multiply
    7,221.54x = 10,834.72 × 3,323
  4. Step 4: Simplify right side
    7,221.54x = 36,003,774.56
  5. Step 5: Solve for x
    x = 36,003,774.56/7,221.54
  6. Step 6: Final answer
    x = 4,985.61

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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.