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Finding the Fourth Proportional to 11,817.25, 17,714.92 and 4,416.07

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Solution

The fourth proportional to 11,817.25, 17,714.92 and 4,416.07 is: 6,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.25 : 17,714.92 = 4,416.07 : x
  2. Step 2: Convert to fraction form
    11,817.25/17,714.92 = 4,416.07/x
  3. Step 3: Cross multiply
    11,817.25x = 17,714.92 × 4,416.07
  4. Step 4: Simplify right side
    11,817.25x = 78,230,326.76
  5. Step 5: Solve for x
    x = 78,230,326.76/11,817.25
  6. Step 6: Final answer
    x = 6,620.01

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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.