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Finding the Fourth Proportional to 11,828.20, 16,324.86 and 7,115.08

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Solution

The fourth proportional to 11,828.20, 16,324.86 and 7,115.08 is: 9,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.20 : 16,324.86 = 7,115.08 : x
  2. Step 2: Convert to fraction form
    11,828.20/16,324.86 = 7,115.08/x
  3. Step 3: Cross multiply
    11,828.20x = 16,324.86 × 7,115.08
  4. Step 4: Simplify right side
    11,828.20x = 116,152,684.89
  5. Step 5: Solve for x
    x = 116,152,684.89/11,828.20
  6. Step 6: Final answer
    x = 9,819.98

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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.