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Finding the Fourth Proportional to 7,503.94, 11,255.50 and 3,806.07

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Solution

The fourth proportional to 7,503.94, 11,255.50 and 3,806.07 is: 5,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.94 : 11,255.50 = 3,806.07 : x
  2. Step 2: Convert to fraction form
    7,503.94/11,255.50 = 3,806.07/x
  3. Step 3: Cross multiply
    7,503.94x = 11,255.50 × 3,806.07
  4. Step 4: Simplify right side
    7,503.94x = 42,839,278.56
  5. Step 5: Solve for x
    x = 42,839,278.56/7,503.94
  6. Step 6: Final answer
    x = 5,708.90

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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.