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Finding the Fourth Proportional to 7,738.50, 11,592.81 and 4,621.01

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Solution

The fourth proportional to 7,738.50, 11,592.81 and 4,621.01 is: 6,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.50 : 11,592.81 = 4,621.01 : x
  2. Step 2: Convert to fraction form
    7,738.50/11,592.81 = 4,621.01/x
  3. Step 3: Cross multiply
    7,738.50x = 11,592.81 × 4,621.01
  4. Step 4: Simplify right side
    7,738.50x = 53,570,432.97
  5. Step 5: Solve for x
    x = 53,570,432.97/7,738.50
  6. Step 6: Final answer
    x = 6,922.59

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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.