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Finding the Fourth Proportional to 7,698.45, 10,623.89 and 4,161.67

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Solution

The fourth proportional to 7,698.45, 10,623.89 and 4,161.67 is: 5,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.45 : 10,623.89 = 4,161.67 : x
  2. Step 2: Convert to fraction form
    7,698.45/10,623.89 = 4,161.67/x
  3. Step 3: Cross multiply
    7,698.45x = 10,623.89 × 4,161.67
  4. Step 4: Simplify right side
    7,698.45x = 44,213,096.02
  5. Step 5: Solve for x
    x = 44,213,096.02/7,698.45
  6. Step 6: Final answer
    x = 5,743.11

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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.