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Finding the Fourth Proportional to 6,823.10, 9,412.80 and 5,826.80

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Solution

The fourth proportional to 6,823.10, 9,412.80 and 5,826.80 is: 8,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.10 : 9,412.80 = 5,826.80 : x
  2. Step 2: Convert to fraction form
    6,823.10/9,412.80 = 5,826.80/x
  3. Step 3: Cross multiply
    6,823.10x = 9,412.80 × 5,826.80
  4. Step 4: Simplify right side
    6,823.10x = 54,846,503.04
  5. Step 5: Solve for x
    x = 54,846,503.04/6,823.10
  6. Step 6: Final answer
    x = 8,038.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.