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Finding the Fourth Proportional to 6,851.14, 10,260.97 and 4,352.14

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Solution

The fourth proportional to 6,851.14, 10,260.97 and 4,352.14 is: 6,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.14 : 10,260.97 = 4,352.14 : x
  2. Step 2: Convert to fraction form
    6,851.14/10,260.97 = 4,352.14/x
  3. Step 3: Cross multiply
    6,851.14x = 10,260.97 × 4,352.14
  4. Step 4: Simplify right side
    6,851.14x = 44,657,177.98
  5. Step 5: Solve for x
    x = 44,657,177.98/6,851.14
  6. Step 6: Final answer
    x = 6,518.21

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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.