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Finding the Fourth Proportional to 11,714.45, 16,165.73 and 6,409.15

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Solution

The fourth proportional to 11,714.45, 16,165.73 and 6,409.15 is: 8,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.45 : 16,165.73 = 6,409.15 : x
  2. Step 2: Convert to fraction form
    11,714.45/16,165.73 = 6,409.15/x
  3. Step 3: Cross multiply
    11,714.45x = 16,165.73 × 6,409.15
  4. Step 4: Simplify right side
    11,714.45x = 103,608,475.56
  5. Step 5: Solve for x
    x = 103,608,475.56/11,714.45
  6. Step 6: Final answer
    x = 8,844.50

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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.