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Finding the Fourth Proportional to 7,538.41, 10,403.63 and 4,182.31

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Solution

The fourth proportional to 7,538.41, 10,403.63 and 4,182.31 is: 5,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.41 : 10,403.63 = 4,182.31 : x
  2. Step 2: Convert to fraction form
    7,538.41/10,403.63 = 4,182.31/x
  3. Step 3: Cross multiply
    7,538.41x = 10,403.63 × 4,182.31
  4. Step 4: Simplify right side
    7,538.41x = 43,511,205.79
  5. Step 5: Solve for x
    x = 43,511,205.79/7,538.41
  6. Step 6: Final answer
    x = 5,771.93

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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.