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Finding the Fourth Proportional to 8,004.74, 12,003.87 and 3,384.50

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Solution

The fourth proportional to 8,004.74, 12,003.87 and 3,384.50 is: 5,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.74 : 12,003.87 = 3,384.50 : x
  2. Step 2: Convert to fraction form
    8,004.74/12,003.87 = 3,384.50/x
  3. Step 3: Cross multiply
    8,004.74x = 12,003.87 × 3,384.50
  4. Step 4: Simplify right side
    8,004.74x = 40,627,098.02
  5. Step 5: Solve for x
    x = 40,627,098.02/8,004.74
  6. Step 6: Final answer
    x = 5,075.38

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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.