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Finding the Fourth Proportional to 8,172, 11,277.36 and 4,446

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Solution

The fourth proportional to 8,172, 11,277.36 and 4,446 is: 6,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172 : 11,277.36 = 4,446 : x
  2. Step 2: Convert to fraction form
    8,172/11,277.36 = 4,446/x
  3. Step 3: Cross multiply
    8,172x = 11,277.36 × 4,446
  4. Step 4: Simplify right side
    8,172x = 50,139,142.56
  5. Step 5: Solve for x
    x = 50,139,142.56/8,172
  6. Step 6: Final answer
    x = 6,135.48

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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.