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Finding the Fourth Proportional to 6,826.32, 10,230.84 and 2,926.08

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Solution

The fourth proportional to 6,826.32, 10,230.84 and 2,926.08 is: 4,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.32 : 10,230.84 = 2,926.08 : x
  2. Step 2: Convert to fraction form
    6,826.32/10,230.84 = 2,926.08/x
  3. Step 3: Cross multiply
    6,826.32x = 10,230.84 × 2,926.08
  4. Step 4: Simplify right side
    6,826.32x = 29,936,256.31
  5. Step 5: Solve for x
    x = 29,936,256.31/6,826.32
  6. Step 6: Final answer
    x = 4,385.42

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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.