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Finding the Fourth Proportional to 8,052.36, 12,071.82 and 5,592

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Solution

The fourth proportional to 8,052.36, 12,071.82 and 5,592 is: 8,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.36 : 12,071.82 = 5,592 : x
  2. Step 2: Convert to fraction form
    8,052.36/12,071.82 = 5,592/x
  3. Step 3: Cross multiply
    8,052.36x = 12,071.82 × 5,592
  4. Step 4: Simplify right side
    8,052.36x = 67,505,617.44
  5. Step 5: Solve for x
    x = 67,505,617.44/8,052.36
  6. Step 6: Final answer
    x = 8,383.33

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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.