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Finding the Fourth Proportional to 7,224.51, 10,836.75 and 2,543.43

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Solution

The fourth proportional to 7,224.51, 10,836.75 and 2,543.43 is: 3,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.51 : 10,836.75 = 2,543.43 : x
  2. Step 2: Convert to fraction form
    7,224.51/10,836.75 = 2,543.43/x
  3. Step 3: Cross multiply
    7,224.51x = 10,836.75 × 2,543.43
  4. Step 4: Simplify right side
    7,224.51x = 27,562,515.05
  5. Step 5: Solve for x
    x = 27,562,515.05/7,224.51
  6. Step 6: Final answer
    x = 3,815.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.