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Finding the Fourth Proportional to 6,102.74, 8,418.53 and 3,713.45

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Solution

The fourth proportional to 6,102.74, 8,418.53 and 3,713.45 is: 5,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.74 : 8,418.53 = 3,713.45 : x
  2. Step 2: Convert to fraction form
    6,102.74/8,418.53 = 3,713.45/x
  3. Step 3: Cross multiply
    6,102.74x = 8,418.53 × 3,713.45
  4. Step 4: Simplify right side
    6,102.74x = 31,261,729.57
  5. Step 5: Solve for x
    x = 31,261,729.57/6,102.74
  6. Step 6: Final answer
    x = 5,122.58

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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.