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Finding the Fourth Proportional to 8,826.37, 12,175.04 and 5,238.96

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Solution

The fourth proportional to 8,826.37, 12,175.04 and 5,238.96 is: 7,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.37 : 12,175.04 = 5,238.96 : x
  2. Step 2: Convert to fraction form
    8,826.37/12,175.04 = 5,238.96/x
  3. Step 3: Cross multiply
    8,826.37x = 12,175.04 × 5,238.96
  4. Step 4: Simplify right side
    8,826.37x = 63,784,534.46
  5. Step 5: Solve for x
    x = 63,784,534.46/8,826.37
  6. Step 6: Final answer
    x = 7,226.59

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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.