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Finding the Fourth Proportional to 7,294.74, 10,943.73 and 3,783.66

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Solution

The fourth proportional to 7,294.74, 10,943.73 and 3,783.66 is: 5,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.74 : 10,943.73 = 3,783.66 : x
  2. Step 2: Convert to fraction form
    7,294.74/10,943.73 = 3,783.66/x
  3. Step 3: Cross multiply
    7,294.74x = 10,943.73 × 3,783.66
  4. Step 4: Simplify right side
    7,294.74x = 41,407,353.45
  5. Step 5: Solve for x
    x = 41,407,353.45/7,294.74
  6. Step 6: Final answer
    x = 5,676.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.