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Finding the Fourth Proportional to 7,538.60, 10,403.13 and 4,181.42

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Solution

The fourth proportional to 7,538.60, 10,403.13 and 4,181.42 is: 5,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.60 : 10,403.13 = 4,181.42 : x
  2. Step 2: Convert to fraction form
    7,538.60/10,403.13 = 4,181.42/x
  3. Step 3: Cross multiply
    7,538.60x = 10,403.13 × 4,181.42
  4. Step 4: Simplify right side
    7,538.60x = 43,499,855.84
  5. Step 5: Solve for x
    x = 43,499,855.84/7,538.60
  6. Step 6: Final answer
    x = 5,770.28

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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.