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Finding the Fourth Proportional to 7,441.84, 10,270.26 and 4,919.57

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Solution

The fourth proportional to 7,441.84, 10,270.26 and 4,919.57 is: 6,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.84 : 10,270.26 = 4,919.57 : x
  2. Step 2: Convert to fraction form
    7,441.84/10,270.26 = 4,919.57/x
  3. Step 3: Cross multiply
    7,441.84x = 10,270.26 × 4,919.57
  4. Step 4: Simplify right side
    7,441.84x = 50,525,250.15
  5. Step 5: Solve for x
    x = 50,525,250.15/7,441.84
  6. Step 6: Final answer
    x = 6,789.35

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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.