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Finding the Fourth Proportional to 12,756.72, 19,127.88 and 3,989.28

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Solution

The fourth proportional to 12,756.72, 19,127.88 and 3,989.28 is: 5,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.72 : 19,127.88 = 3,989.28 : x
  2. Step 2: Convert to fraction form
    12,756.72/19,127.88 = 3,989.28/x
  3. Step 3: Cross multiply
    12,756.72x = 19,127.88 × 3,989.28
  4. Step 4: Simplify right side
    12,756.72x = 76,306,469.13
  5. Step 5: Solve for x
    x = 76,306,469.13/12,756.72
  6. Step 6: Final answer
    x = 5,981.67

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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.