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Finding the Fourth Proportional to 6,523.59, 9,786.88 and 2,826.44

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Solution

The fourth proportional to 6,523.59, 9,786.88 and 2,826.44 is: 4,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.59 : 9,786.88 = 2,826.44 : x
  2. Step 2: Convert to fraction form
    6,523.59/9,786.88 = 2,826.44/x
  3. Step 3: Cross multiply
    6,523.59x = 9,786.88 × 2,826.44
  4. Step 4: Simplify right side
    6,523.59x = 27,661,973.11
  5. Step 5: Solve for x
    x = 27,661,973.11/6,523.59
  6. Step 6: Final answer
    x = 4,240.30

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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.