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Finding the Fourth Proportional to 8,005.78, 12,003 and 3,071.26

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Solution

The fourth proportional to 8,005.78, 12,003 and 3,071.26 is: 4,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.78 : 12,003 = 3,071.26 : x
  2. Step 2: Convert to fraction form
    8,005.78/12,003 = 3,071.26/x
  3. Step 3: Cross multiply
    8,005.78x = 12,003 × 3,071.26
  4. Step 4: Simplify right side
    8,005.78x = 36,864,333.78
  5. Step 5: Solve for x
    x = 36,864,333.78/8,005.78
  6. Step 6: Final answer
    x = 4,604.71

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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.