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Finding the Fourth Proportional to 11,805.08, 17,714.10 and 4,409.24

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Solution

The fourth proportional to 11,805.08, 17,714.10 and 4,409.24 is: 6,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.08 : 17,714.10 = 4,409.24 : x
  2. Step 2: Convert to fraction form
    11,805.08/17,714.10 = 4,409.24/x
  3. Step 3: Cross multiply
    11,805.08x = 17,714.10 × 4,409.24
  4. Step 4: Simplify right side
    11,805.08x = 78,105,718.28
  5. Step 5: Solve for x
    x = 78,105,718.28/11,805.08
  6. Step 6: Final answer
    x = 6,616.28

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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.