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Finding the Fourth Proportional to 10,733.72, 14,813.16 and 8,076.38

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Solution

The fourth proportional to 10,733.72, 14,813.16 and 8,076.38 is: 11,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.72 : 14,813.16 = 8,076.38 : x
  2. Step 2: Convert to fraction form
    10,733.72/14,813.16 = 8,076.38/x
  3. Step 3: Cross multiply
    10,733.72x = 14,813.16 × 8,076.38
  4. Step 4: Simplify right side
    10,733.72x = 119,636,709.16
  5. Step 5: Solve for x
    x = 119,636,709.16/10,733.72
  6. Step 6: Final answer
    x = 11,145.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.