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Finding the Fourth Proportional to 10,942.43, 16,407.16 and 8,596.67

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Solution

The fourth proportional to 10,942.43, 16,407.16 and 8,596.67 is: 12,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.43 : 16,407.16 = 8,596.67 : x
  2. Step 2: Convert to fraction form
    10,942.43/16,407.16 = 8,596.67/x
  3. Step 3: Cross multiply
    10,942.43x = 16,407.16 × 8,596.67
  4. Step 4: Simplify right side
    10,942.43x = 141,046,836.63
  5. Step 5: Solve for x
    x = 141,046,836.63/10,942.43
  6. Step 6: Final answer
    x = 12,889.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.