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Finding the Fourth Proportional to 8,361, 11,530.81 and 5,173.79

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Solution

The fourth proportional to 8,361, 11,530.81 and 5,173.79 is: 7,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361 : 11,530.81 = 5,173.79 : x
  2. Step 2: Convert to fraction form
    8,361/11,530.81 = 5,173.79/x
  3. Step 3: Cross multiply
    8,361x = 11,530.81 × 5,173.79
  4. Step 4: Simplify right side
    8,361x = 59,657,989.47
  5. Step 5: Solve for x
    x = 59,657,989.47/8,361
  6. Step 6: Final answer
    x = 7,135.27

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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.