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Finding the Fourth Proportional to 11,959.85, 16,505.17 and 6,924.89

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Solution

The fourth proportional to 11,959.85, 16,505.17 and 6,924.89 is: 9,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.85 : 16,505.17 = 6,924.89 : x
  2. Step 2: Convert to fraction form
    11,959.85/16,505.17 = 6,924.89/x
  3. Step 3: Cross multiply
    11,959.85x = 16,505.17 × 6,924.89
  4. Step 4: Simplify right side
    11,959.85x = 114,296,510.63
  5. Step 5: Solve for x
    x = 114,296,510.63/11,959.85
  6. Step 6: Final answer
    x = 9,556.68

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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.