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Finding the Fourth Proportional to 7,825.48, 11,749.14 and 7,468.24

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Solution

The fourth proportional to 7,825.48, 11,749.14 and 7,468.24 is: 11,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.48 : 11,749.14 = 7,468.24 : x
  2. Step 2: Convert to fraction form
    7,825.48/11,749.14 = 7,468.24/x
  3. Step 3: Cross multiply
    7,825.48x = 11,749.14 × 7,468.24
  4. Step 4: Simplify right side
    7,825.48x = 87,745,397.31
  5. Step 5: Solve for x
    x = 87,745,397.31/7,825.48
  6. Step 6: Final answer
    x = 11,212.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.