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Finding the Fourth Proportional to 11,039.22, 16,551 and 5,192.64

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Solution

The fourth proportional to 11,039.22, 16,551 and 5,192.64 is: 7,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.22 : 16,551 = 5,192.64 : x
  2. Step 2: Convert to fraction form
    11,039.22/16,551 = 5,192.64/x
  3. Step 3: Cross multiply
    11,039.22x = 16,551 × 5,192.64
  4. Step 4: Simplify right side
    11,039.22x = 85,943,384.64
  5. Step 5: Solve for x
    x = 85,943,384.64/11,039.22
  6. Step 6: Final answer
    x = 7,785.28

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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.