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Finding the Fourth Proportional to 12,311.76, 16,990.26 and 6,722.76

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Solution

The fourth proportional to 12,311.76, 16,990.26 and 6,722.76 is: 9,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.76 : 16,990.26 = 6,722.76 : x
  2. Step 2: Convert to fraction form
    12,311.76/16,990.26 = 6,722.76/x
  3. Step 3: Cross multiply
    12,311.76x = 16,990.26 × 6,722.76
  4. Step 4: Simplify right side
    12,311.76x = 114,221,440.32
  5. Step 5: Solve for x
    x = 114,221,440.32/12,311.76
  6. Step 6: Final answer
    x = 9,277.43

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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.