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Finding the Fourth Proportional to 8,273.07, 12,406.37 and 3,006.45

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Solution

The fourth proportional to 8,273.07, 12,406.37 and 3,006.45 is: 4,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.07 : 12,406.37 = 3,006.45 : x
  2. Step 2: Convert to fraction form
    8,273.07/12,406.37 = 3,006.45/x
  3. Step 3: Cross multiply
    8,273.07x = 12,406.37 × 3,006.45
  4. Step 4: Simplify right side
    8,273.07x = 37,299,116.05
  5. Step 5: Solve for x
    x = 37,299,116.05/8,273.07
  6. Step 6: Final answer
    x = 4,508.50

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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.