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Finding the Fourth Proportional to 11,714.96, 17,571.48 and 3,506.96

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Solution

The fourth proportional to 11,714.96, 17,571.48 and 3,506.96 is: 5,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.96 : 17,571.48 = 3,506.96 : x
  2. Step 2: Convert to fraction form
    11,714.96/17,571.48 = 3,506.96/x
  3. Step 3: Cross multiply
    11,714.96x = 17,571.48 × 3,506.96
  4. Step 4: Simplify right side
    11,714.96x = 61,622,477.50
  5. Step 5: Solve for x
    x = 61,622,477.50/11,714.96
  6. Step 6: Final answer
    x = 5,260.15

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Why These Related Problems?

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