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Finding the Fourth Proportional to 6,103.88, 8,420.34 and 4,111.88

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Solution

The fourth proportional to 6,103.88, 8,420.34 and 4,111.88 is: 5,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.88 : 8,420.34 = 4,111.88 : x
  2. Step 2: Convert to fraction form
    6,103.88/8,420.34 = 4,111.88/x
  3. Step 3: Cross multiply
    6,103.88x = 8,420.34 × 4,111.88
  4. Step 4: Simplify right side
    6,103.88x = 34,623,427.64
  5. Step 5: Solve for x
    x = 34,623,427.64/6,103.88
  6. Step 6: Final answer
    x = 5,672.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.