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Finding the Fourth Proportional to 6,841.36, 10,257.71 and 2,890.56

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Solution

The fourth proportional to 6,841.36, 10,257.71 and 2,890.56 is: 4,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.36 : 10,257.71 = 2,890.56 : x
  2. Step 2: Convert to fraction form
    6,841.36/10,257.71 = 2,890.56/x
  3. Step 3: Cross multiply
    6,841.36x = 10,257.71 × 2,890.56
  4. Step 4: Simplify right side
    6,841.36x = 29,650,526.22
  5. Step 5: Solve for x
    x = 29,650,526.22/6,841.36
  6. Step 6: Final answer
    x = 4,334.01

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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.