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Finding the Fourth Proportional to 7,741.37, 10,683.06 and 4,384.42

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Solution

The fourth proportional to 7,741.37, 10,683.06 and 4,384.42 is: 6,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.37 : 10,683.06 = 4,384.42 : x
  2. Step 2: Convert to fraction form
    7,741.37/10,683.06 = 4,384.42/x
  3. Step 3: Cross multiply
    7,741.37x = 10,683.06 × 4,384.42
  4. Step 4: Simplify right side
    7,741.37x = 46,839,021.93
  5. Step 5: Solve for x
    x = 46,839,021.93/7,741.37
  6. Step 6: Final answer
    x = 6,050.48

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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.