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Finding the Fourth Proportional to 7,441.49, 10,271.78 and 5,208.03

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Solution

The fourth proportional to 7,441.49, 10,271.78 and 5,208.03 is: 7,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.49 : 10,271.78 = 5,208.03 : x
  2. Step 2: Convert to fraction form
    7,441.49/10,271.78 = 5,208.03/x
  3. Step 3: Cross multiply
    7,441.49x = 10,271.78 × 5,208.03
  4. Step 4: Simplify right side
    7,441.49x = 53,495,738.39
  5. Step 5: Solve for x
    x = 53,495,738.39/7,441.49
  6. Step 6: Final answer
    x = 7,188.85

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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.