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Finding the Fourth Proportional to 11,800.78, 16,179.53 and 11,590.18

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Solution

The fourth proportional to 11,800.78, 16,179.53 and 11,590.18 is: 15,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.78 : 16,179.53 = 11,590.18 : x
  2. Step 2: Convert to fraction form
    11,800.78/16,179.53 = 11,590.18/x
  3. Step 3: Cross multiply
    11,800.78x = 16,179.53 × 11,590.18
  4. Step 4: Simplify right side
    11,800.78x = 187,523,665.02
  5. Step 5: Solve for x
    x = 187,523,665.02/11,800.78
  6. Step 6: Final answer
    x = 15,890.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.