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Finding the Fourth Proportional to 11,295.46, 16,953.68 and 8,136.16

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Solution

The fourth proportional to 11,295.46, 16,953.68 and 8,136.16 is: 12,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.46 : 16,953.68 = 8,136.16 : x
  2. Step 2: Convert to fraction form
    11,295.46/16,953.68 = 8,136.16/x
  3. Step 3: Cross multiply
    11,295.46x = 16,953.68 × 8,136.16
  4. Step 4: Simplify right side
    11,295.46x = 137,937,832.94
  5. Step 5: Solve for x
    x = 137,937,832.94/11,295.46
  6. Step 6: Final answer
    x = 12,211.79

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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.