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Finding the Fourth Proportional to 7,823.25, 10,796.10 and 4,238.24

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Solution

The fourth proportional to 7,823.25, 10,796.10 and 4,238.24 is: 5,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.25 : 10,796.10 = 4,238.24 : x
  2. Step 2: Convert to fraction form
    7,823.25/10,796.10 = 4,238.24/x
  3. Step 3: Cross multiply
    7,823.25x = 10,796.10 × 4,238.24
  4. Step 4: Simplify right side
    7,823.25x = 45,756,462.86
  5. Step 5: Solve for x
    x = 45,756,462.86/7,823.25
  6. Step 6: Final answer
    x = 5,848.78

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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.