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Finding the Fourth Proportional to 11,800.96, 16,283.10 and 7,325.80

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Solution

The fourth proportional to 11,800.96, 16,283.10 and 7,325.80 is: 10,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.96 : 16,283.10 = 7,325.80 : x
  2. Step 2: Convert to fraction form
    11,800.96/16,283.10 = 7,325.80/x
  3. Step 3: Cross multiply
    11,800.96x = 16,283.10 × 7,325.80
  4. Step 4: Simplify right side
    11,800.96x = 119,286,733.98
  5. Step 5: Solve for x
    x = 119,286,733.98/11,800.96
  6. Step 6: Final answer
    x = 10,108.22

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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.