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Finding the Fourth Proportional to 6,100.32, 8,418.96 and 5,103.84

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Solution

The fourth proportional to 6,100.32, 8,418.96 and 5,103.84 is: 7,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.32 : 8,418.96 = 5,103.84 : x
  2. Step 2: Convert to fraction form
    6,100.32/8,418.96 = 5,103.84/x
  3. Step 3: Cross multiply
    6,100.32x = 8,418.96 × 5,103.84
  4. Step 4: Simplify right side
    6,100.32x = 42,969,024.81
  5. Step 5: Solve for x
    x = 42,969,024.81/6,100.32
  6. Step 6: Final answer
    x = 7,043.73

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