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Finding the Fourth Proportional to 7,294.76, 10,942.01 and 2,364.41

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Solution

The fourth proportional to 7,294.76, 10,942.01 and 2,364.41 is: 3,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.76 : 10,942.01 = 2,364.41 : x
  2. Step 2: Convert to fraction form
    7,294.76/10,942.01 = 2,364.41/x
  3. Step 3: Cross multiply
    7,294.76x = 10,942.01 × 2,364.41
  4. Step 4: Simplify right side
    7,294.76x = 25,871,331.33
  5. Step 5: Solve for x
    x = 25,871,331.33/7,294.76
  6. Step 6: Final answer
    x = 3,546.57

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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.