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Finding the Fourth Proportional to 8,043.10, 12,048.22 and 4,139.30

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Solution

The fourth proportional to 8,043.10, 12,048.22 and 4,139.30 is: 6,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.10 : 12,048.22 = 4,139.30 : x
  2. Step 2: Convert to fraction form
    8,043.10/12,048.22 = 4,139.30/x
  3. Step 3: Cross multiply
    8,043.10x = 12,048.22 × 4,139.30
  4. Step 4: Simplify right side
    8,043.10x = 49,871,232.34
  5. Step 5: Solve for x
    x = 49,871,232.34/8,043.10
  6. Step 6: Final answer
    x = 6,200.50

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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.