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Finding the Fourth Proportional to 11,115.44, 16,666.92 and 3,716

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Solution

The fourth proportional to 11,115.44, 16,666.92 and 3,716 is: 5,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.44 : 16,666.92 = 3,716 : x
  2. Step 2: Convert to fraction form
    11,115.44/16,666.92 = 3,716/x
  3. Step 3: Cross multiply
    11,115.44x = 16,666.92 × 3,716
  4. Step 4: Simplify right side
    11,115.44x = 61,934,274.72
  5. Step 5: Solve for x
    x = 61,934,274.72/11,115.44
  6. Step 6: Final answer
    x = 5,571.91

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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.