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Finding the Fourth Proportional to 7,538.75, 10,403.48 and 4,226.75

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Solution

The fourth proportional to 7,538.75, 10,403.48 and 4,226.75 is: 5,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.75 : 10,403.48 = 4,226.75 : x
  2. Step 2: Convert to fraction form
    7,538.75/10,403.48 = 4,226.75/x
  3. Step 3: Cross multiply
    7,538.75x = 10,403.48 × 4,226.75
  4. Step 4: Simplify right side
    7,538.75x = 43,972,909.09
  5. Step 5: Solve for x
    x = 43,972,909.09/7,538.75
  6. Step 6: Final answer
    x = 5,832.92

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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.