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Finding the Fourth Proportional to 8,052, 11,115.39 and 5,072.22

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Solution

The fourth proportional to 8,052, 11,115.39 and 5,072.22 is: 7,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052 : 11,115.39 = 5,072.22 : x
  2. Step 2: Convert to fraction form
    8,052/11,115.39 = 5,072.22/x
  3. Step 3: Cross multiply
    8,052x = 11,115.39 × 5,072.22
  4. Step 4: Simplify right side
    8,052x = 56,379,703.47
  5. Step 5: Solve for x
    x = 56,379,703.47/8,052
  6. Step 6: Final answer
    x = 7,001.95

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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.