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Finding the Fourth Proportional to 7,698.80, 10,624.34 and 4,162.01

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Solution

The fourth proportional to 7,698.80, 10,624.34 and 4,162.01 is: 5,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.80 : 10,624.34 = 4,162.01 : x
  2. Step 2: Convert to fraction form
    7,698.80/10,624.34 = 4,162.01/x
  3. Step 3: Cross multiply
    7,698.80x = 10,624.34 × 4,162.01
  4. Step 4: Simplify right side
    7,698.80x = 44,218,556.20
  5. Step 5: Solve for x
    x = 44,218,556.20/7,698.80
  6. Step 6: Final answer
    x = 5,743.57

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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.