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Finding the Fourth Proportional to 12,882.92, 17,777.58 and 7,216.68

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Solution

The fourth proportional to 12,882.92, 17,777.58 and 7,216.68 is: 9,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.92 : 17,777.58 = 7,216.68 : x
  2. Step 2: Convert to fraction form
    12,882.92/17,777.58 = 7,216.68/x
  3. Step 3: Cross multiply
    12,882.92x = 17,777.58 × 7,216.68
  4. Step 4: Simplify right side
    12,882.92x = 128,295,106.03
  5. Step 5: Solve for x
    x = 128,295,106.03/12,882.92
  6. Step 6: Final answer
    x = 9,958.54

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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.