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Finding the Fourth Proportional to 7,741.46, 10,683.18 and 4,204.64

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Solution

The fourth proportional to 7,741.46, 10,683.18 and 4,204.64 is: 5,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.46 : 10,683.18 = 4,204.64 : x
  2. Step 2: Convert to fraction form
    7,741.46/10,683.18 = 4,204.64/x
  3. Step 3: Cross multiply
    7,741.46x = 10,683.18 × 4,204.64
  4. Step 4: Simplify right side
    7,741.46x = 44,918,872.54
  5. Step 5: Solve for x
    x = 44,918,872.54/7,741.46
  6. Step 6: Final answer
    x = 5,802.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.