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Finding the Fourth Proportional to 11,556.30, 17,324.05 and 4,159.02

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Solution

The fourth proportional to 11,556.30, 17,324.05 and 4,159.02 is: 6,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.30 : 17,324.05 = 4,159.02 : x
  2. Step 2: Convert to fraction form
    11,556.30/17,324.05 = 4,159.02/x
  3. Step 3: Cross multiply
    11,556.30x = 17,324.05 × 4,159.02
  4. Step 4: Simplify right side
    11,556.30x = 72,051,070.43
  5. Step 5: Solve for x
    x = 72,051,070.43/11,556.30
  6. Step 6: Final answer
    x = 6,234.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.