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Finding the Fourth Proportional to 7,538.70, 10,403.01 and 4,181.25

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Solution

The fourth proportional to 7,538.70, 10,403.01 and 4,181.25 is: 5,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.70 : 10,403.01 = 4,181.25 : x
  2. Step 2: Convert to fraction form
    7,538.70/10,403.01 = 4,181.25/x
  3. Step 3: Cross multiply
    7,538.70x = 10,403.01 × 4,181.25
  4. Step 4: Simplify right side
    7,538.70x = 43,497,585.56
  5. Step 5: Solve for x
    x = 43,497,585.56/7,538.70
  6. Step 6: Final answer
    x = 5,769.91

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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.