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Finding the Fourth Proportional to 7,517.84, 10,374.57 and 4,205.84

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Solution

The fourth proportional to 7,517.84, 10,374.57 and 4,205.84 is: 5,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.84 : 10,374.57 = 4,205.84 : x
  2. Step 2: Convert to fraction form
    7,517.84/10,374.57 = 4,205.84/x
  3. Step 3: Cross multiply
    7,517.84x = 10,374.57 × 4,205.84
  4. Step 4: Simplify right side
    7,517.84x = 43,633,729.62
  5. Step 5: Solve for x
    x = 43,633,729.62/7,517.84
  6. Step 6: Final answer
    x = 5,804.03

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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.