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Finding the Fourth Proportional to 7,538.52, 10,403.16 and 4,181.88

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Solution

The fourth proportional to 7,538.52, 10,403.16 and 4,181.88 is: 5,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.52 : 10,403.16 = 4,181.88 : x
  2. Step 2: Convert to fraction form
    7,538.52/10,403.16 = 4,181.88/x
  3. Step 3: Cross multiply
    7,538.52x = 10,403.16 × 4,181.88
  4. Step 4: Simplify right side
    7,538.52x = 43,504,766.74
  5. Step 5: Solve for x
    x = 43,504,766.74/7,538.52
  6. Step 6: Final answer
    x = 5,771.00

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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.