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Finding the Fourth Proportional to 7,741.40, 10,683.17 and 4,204.61

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Solution

The fourth proportional to 7,741.40, 10,683.17 and 4,204.61 is: 5,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.40 : 10,683.17 = 4,204.61 : x
  2. Step 2: Convert to fraction form
    7,741.40/10,683.17 = 4,204.61/x
  3. Step 3: Cross multiply
    7,741.40x = 10,683.17 × 4,204.61
  4. Step 4: Simplify right side
    7,741.40x = 44,918,488.97
  5. Step 5: Solve for x
    x = 44,918,488.97/7,741.40
  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.