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Finding the Fourth Proportional to 7,741.74, 10,683.81 and 4,205.19

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Solution

The fourth proportional to 7,741.74, 10,683.81 and 4,205.19 is: 5,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.74 : 10,683.81 = 4,205.19 : x
  2. Step 2: Convert to fraction form
    7,741.74/10,683.81 = 4,205.19/x
  3. Step 3: Cross multiply
    7,741.74x = 10,683.81 × 4,205.19
  4. Step 4: Simplify right side
    7,741.74x = 44,927,450.97
  5. Step 5: Solve for x
    x = 44,927,450.97/7,741.74
  6. Step 6: Final answer
    x = 5,803.28

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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.