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Finding the Fourth Proportional to 8,519.28, 12,763.56 and 7,131.12

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Solution

The fourth proportional to 8,519.28, 12,763.56 and 7,131.12 is: 10,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.28 : 12,763.56 = 7,131.12 : x
  2. Step 2: Convert to fraction form
    8,519.28/12,763.56 = 7,131.12/x
  3. Step 3: Cross multiply
    8,519.28x = 12,763.56 × 7,131.12
  4. Step 4: Simplify right side
    8,519.28x = 91,018,477.99
  5. Step 5: Solve for x
    x = 91,018,477.99/8,519.28
  6. Step 6: Final answer
    x = 10,683.82

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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.