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Finding the Fourth Proportional to 7,399.69, 10,211.35 and 4,212.94

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Solution

The fourth proportional to 7,399.69, 10,211.35 and 4,212.94 is: 5,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.69 : 10,211.35 = 4,212.94 : x
  2. Step 2: Convert to fraction form
    7,399.69/10,211.35 = 4,212.94/x
  3. Step 3: Cross multiply
    7,399.69x = 10,211.35 × 4,212.94
  4. Step 4: Simplify right side
    7,399.69x = 43,019,784.91
  5. Step 5: Solve for x
    x = 43,019,784.91/7,399.69
  6. Step 6: Final answer
    x = 5,813.73

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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.