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Finding the Fourth Proportional to 6,811.41, 10,213 and 4,441.25

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Solution

The fourth proportional to 6,811.41, 10,213 and 4,441.25 is: 6,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.41 : 10,213 = 4,441.25 : x
  2. Step 2: Convert to fraction form
    6,811.41/10,213 = 4,441.25/x
  3. Step 3: Cross multiply
    6,811.41x = 10,213 × 4,441.25
  4. Step 4: Simplify right side
    6,811.41x = 45,358,486.25
  5. Step 5: Solve for x
    x = 45,358,486.25/6,811.41
  6. Step 6: Final answer
    x = 6,659.19

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