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Finding the Fourth Proportional to 7,538.70, 10,403.46 and 4,181.43

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Solution

The fourth proportional to 7,538.70, 10,403.46 and 4,181.43 is: 5,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.70 : 10,403.46 = 4,181.43 : x
  2. Step 2: Convert to fraction form
    7,538.70/10,403.46 = 4,181.43/x
  3. Step 3: Cross multiply
    7,538.70x = 10,403.46 × 4,181.43
  4. Step 4: Simplify right side
    7,538.70x = 43,501,339.75
  5. Step 5: Solve for x
    x = 43,501,339.75/7,538.70
  6. Step 6: Final answer
    x = 5,770.40

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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.