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Finding the Fourth Proportional to 6,782.14, 10,173.10 and 1,851.76

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Solution

The fourth proportional to 6,782.14, 10,173.10 and 1,851.76 is: 2,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.14 : 10,173.10 = 1,851.76 : x
  2. Step 2: Convert to fraction form
    6,782.14/10,173.10 = 1,851.76/x
  3. Step 3: Cross multiply
    6,782.14x = 10,173.10 × 1,851.76
  4. Step 4: Simplify right side
    6,782.14x = 18,838,139.66
  5. Step 5: Solve for x
    x = 18,838,139.66/6,782.14
  6. Step 6: Final answer
    x = 2,777.61

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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.