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Finding the Fourth Proportional to 11,800.30, 16,281.12 and 7,324.24

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Solution

The fourth proportional to 11,800.30, 16,281.12 and 7,324.24 is: 10,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.30 : 16,281.12 = 7,324.24 : x
  2. Step 2: Convert to fraction form
    11,800.30/16,281.12 = 7,324.24/x
  3. Step 3: Cross multiply
    11,800.30x = 16,281.12 × 7,324.24
  4. Step 4: Simplify right side
    11,800.30x = 119,246,830.35
  5. Step 5: Solve for x
    x = 119,246,830.35/11,800.30
  6. Step 6: Final answer
    x = 10,105.41

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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.