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Finding the Fourth Proportional to 7,542.41, 10,409.18 and 4,185.88

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Solution

The fourth proportional to 7,542.41, 10,409.18 and 4,185.88 is: 5,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.41 : 10,409.18 = 4,185.88 : x
  2. Step 2: Convert to fraction form
    7,542.41/10,409.18 = 4,185.88/x
  3. Step 3: Cross multiply
    7,542.41x = 10,409.18 × 4,185.88
  4. Step 4: Simplify right side
    7,542.41x = 43,571,531.43
  5. Step 5: Solve for x
    x = 43,571,531.43/7,542.41
  6. Step 6: Final answer
    x = 5,776.87

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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.