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Finding the Fourth Proportional to 7,481.80, 11,222.70 and 5,284

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Solution

The fourth proportional to 7,481.80, 11,222.70 and 5,284 is: 7,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.80 : 11,222.70 = 5,284 : x
  2. Step 2: Convert to fraction form
    7,481.80/11,222.70 = 5,284/x
  3. Step 3: Cross multiply
    7,481.80x = 11,222.70 × 5,284
  4. Step 4: Simplify right side
    7,481.80x = 59,300,746.80
  5. Step 5: Solve for x
    x = 59,300,746.80/7,481.80
  6. Step 6: Final answer
    x = 7,926

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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.