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Finding the Fourth Proportional to 7,409.80, 10,224.52 and 4,222.72

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Solution

The fourth proportional to 7,409.80, 10,224.52 and 4,222.72 is: 5,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.80 : 10,224.52 = 4,222.72 : x
  2. Step 2: Convert to fraction form
    7,409.80/10,224.52 = 4,222.72/x
  3. Step 3: Cross multiply
    7,409.80x = 10,224.52 × 4,222.72
  4. Step 4: Simplify right side
    7,409.80x = 43,175,285.09
  5. Step 5: Solve for x
    x = 43,175,285.09/7,409.80
  6. Step 6: Final answer
    x = 5,826.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.