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Finding the Fourth Proportional to 11,714.30, 16,165.85 and 6,409

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Solution

The fourth proportional to 11,714.30, 16,165.85 and 6,409 is: 8,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.30 : 16,165.85 = 6,409 : x
  2. Step 2: Convert to fraction form
    11,714.30/16,165.85 = 6,409/x
  3. Step 3: Cross multiply
    11,714.30x = 16,165.85 × 6,409
  4. Step 4: Simplify right side
    11,714.30x = 103,606,932.65
  5. Step 5: Solve for x
    x = 103,606,932.65/11,714.30
  6. Step 6: Final answer
    x = 8,844.48

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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.