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Finding the Fourth Proportional to 8,028.36, 12,038.76 and 3,100.32

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Solution

The fourth proportional to 8,028.36, 12,038.76 and 3,100.32 is: 4,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.36 : 12,038.76 = 3,100.32 : x
  2. Step 2: Convert to fraction form
    8,028.36/12,038.76 = 3,100.32/x
  3. Step 3: Cross multiply
    8,028.36x = 12,038.76 × 3,100.32
  4. Step 4: Simplify right side
    8,028.36x = 37,324,008.40
  5. Step 5: Solve for x
    x = 37,324,008.40/8,028.36
  6. Step 6: Final answer
    x = 4,649.02

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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.