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Finding the Fourth Proportional to 8,965.80, 13,508.46 and 8,257.32

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Solution

The fourth proportional to 8,965.80, 13,508.46 and 8,257.32 is: 12,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.80 : 13,508.46 = 8,257.32 : x
  2. Step 2: Convert to fraction form
    8,965.80/13,508.46 = 8,257.32/x
  3. Step 3: Cross multiply
    8,965.80x = 13,508.46 × 8,257.32
  4. Step 4: Simplify right side
    8,965.80x = 111,543,676.93
  5. Step 5: Solve for x
    x = 111,543,676.93/8,965.80
  6. Step 6: Final answer
    x = 12,441.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.