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Finding the Fourth Proportional to 7,698.23, 10,623.53 and 4,161.44

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Solution

The fourth proportional to 7,698.23, 10,623.53 and 4,161.44 is: 5,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.23 : 10,623.53 = 4,161.44 : x
  2. Step 2: Convert to fraction form
    7,698.23/10,623.53 = 4,161.44/x
  3. Step 3: Cross multiply
    7,698.23x = 10,623.53 × 4,161.44
  4. Step 4: Simplify right side
    7,698.23x = 44,209,219.65
  5. Step 5: Solve for x
    x = 44,209,219.65/7,698.23
  6. Step 6: Final answer
    x = 5,742.78

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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.