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Finding the Fourth Proportional to 10,983.06, 16,491.03 and 9,506.85

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Solution

The fourth proportional to 10,983.06, 16,491.03 and 9,506.85 is: 14,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.06 : 16,491.03 = 9,506.85 : x
  2. Step 2: Convert to fraction form
    10,983.06/16,491.03 = 9,506.85/x
  3. Step 3: Cross multiply
    10,983.06x = 16,491.03 × 9,506.85
  4. Step 4: Simplify right side
    10,983.06x = 156,777,748.56
  5. Step 5: Solve for x
    x = 156,777,748.56/10,983.06
  6. Step 6: Final answer
    x = 14,274.51

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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.