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Finding the Fourth Proportional to 6,782.36, 10,167.60 and 3,493.76

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Solution

The fourth proportional to 6,782.36, 10,167.60 and 3,493.76 is: 5,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.36 : 10,167.60 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    6,782.36/10,167.60 = 3,493.76/x
  3. Step 3: Cross multiply
    6,782.36x = 10,167.60 × 3,493.76
  4. Step 4: Simplify right side
    6,782.36x = 35,523,154.18
  5. Step 5: Solve for x
    x = 35,523,154.18/6,782.36
  6. Step 6: Final answer
    x = 5,237.58

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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.