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Finding the Fourth Proportional to 6,850.96, 10,256.28 and 5,214.16

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Solution

The fourth proportional to 6,850.96, 10,256.28 and 5,214.16 is: 7,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.96 : 10,256.28 = 5,214.16 : x
  2. Step 2: Convert to fraction form
    6,850.96/10,256.28 = 5,214.16/x
  3. Step 3: Cross multiply
    6,850.96x = 10,256.28 × 5,214.16
  4. Step 4: Simplify right side
    6,850.96x = 53,477,884.92
  5. Step 5: Solve for x
    x = 53,477,884.92/6,850.96
  6. Step 6: Final answer
    x = 7,805.90

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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.