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Finding the Fourth Proportional to 7,077.09, 10,617 and 2,694.21

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Solution

The fourth proportional to 7,077.09, 10,617 and 2,694.21 is: 4,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.09 : 10,617 = 2,694.21 : x
  2. Step 2: Convert to fraction form
    7,077.09/10,617 = 2,694.21/x
  3. Step 3: Cross multiply
    7,077.09x = 10,617 × 2,694.21
  4. Step 4: Simplify right side
    7,077.09x = 28,604,427.57
  5. Step 5: Solve for x
    x = 28,604,427.57/7,077.09
  6. Step 6: Final answer
    x = 4,041.83

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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.