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Finding the Fourth Proportional to 8,738.65, 13,099.74 and 4,351.96

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Solution

The fourth proportional to 8,738.65, 13,099.74 and 4,351.96 is: 6,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.65 : 13,099.74 = 4,351.96 : x
  2. Step 2: Convert to fraction form
    8,738.65/13,099.74 = 4,351.96/x
  3. Step 3: Cross multiply
    8,738.65x = 13,099.74 × 4,351.96
  4. Step 4: Simplify right side
    8,738.65x = 57,009,544.49
  5. Step 5: Solve for x
    x = 57,009,544.49/8,738.65
  6. Step 6: Final answer
    x = 6,523.84

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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.