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Finding the Fourth Proportional to 8,030.89, 12,042 and 3,645.96

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Solution

The fourth proportional to 8,030.89, 12,042 and 3,645.96 is: 5,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.89 : 12,042 = 3,645.96 : x
  2. Step 2: Convert to fraction form
    8,030.89/12,042 = 3,645.96/x
  3. Step 3: Cross multiply
    8,030.89x = 12,042 × 3,645.96
  4. Step 4: Simplify right side
    8,030.89x = 43,904,650.32
  5. Step 5: Solve for x
    x = 43,904,650.32/8,030.89
  6. Step 6: Final answer
    x = 5,466.97

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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.