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Finding the Fourth Proportional to 11,297.25, 16,956.35 and 8,137.95

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Solution

The fourth proportional to 11,297.25, 16,956.35 and 8,137.95 is: 12,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.25 : 16,956.35 = 8,137.95 : x
  2. Step 2: Convert to fraction form
    11,297.25/16,956.35 = 8,137.95/x
  3. Step 3: Cross multiply
    11,297.25x = 16,956.35 × 8,137.95
  4. Step 4: Simplify right side
    11,297.25x = 137,989,887.79
  5. Step 5: Solve for x
    x = 137,989,887.79/11,297.25
  6. Step 6: Final answer
    x = 12,214.47

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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.