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Finding the Fourth Proportional to 6,841.90, 10,256.77 and 2,458.18

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Solution

The fourth proportional to 6,841.90, 10,256.77 and 2,458.18 is: 3,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.90 : 10,256.77 = 2,458.18 : x
  2. Step 2: Convert to fraction form
    6,841.90/10,256.77 = 2,458.18/x
  3. Step 3: Cross multiply
    6,841.90x = 10,256.77 × 2,458.18
  4. Step 4: Simplify right side
    6,841.90x = 25,212,986.88
  5. Step 5: Solve for x
    x = 25,212,986.88/6,841.90
  6. Step 6: Final answer
    x = 3,685.09

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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.