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Finding the Fourth Proportional to 7,741.36, 10,683.03 and 4,204.54

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Solution

The fourth proportional to 7,741.36, 10,683.03 and 4,204.54 is: 5,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.36 : 10,683.03 = 4,204.54 : x
  2. Step 2: Convert to fraction form
    7,741.36/10,683.03 = 4,204.54/x
  3. Step 3: Cross multiply
    7,741.36x = 10,683.03 × 4,204.54
  4. Step 4: Simplify right side
    7,741.36x = 44,917,226.96
  5. Step 5: Solve for x
    x = 44,917,226.96/7,741.36
  6. Step 6: Final answer
    x = 5,802.24

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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.