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Finding the Fourth Proportional to 11,714.76, 16,165.80 and 6,409.44

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Solution

The fourth proportional to 11,714.76, 16,165.80 and 6,409.44 is: 8,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.76 : 16,165.80 = 6,409.44 : x
  2. Step 2: Convert to fraction form
    11,714.76/16,165.80 = 6,409.44/x
  3. Step 3: Cross multiply
    11,714.76x = 16,165.80 × 6,409.44
  4. Step 4: Simplify right side
    11,714.76x = 103,613,725.15
  5. Step 5: Solve for x
    x = 103,613,725.15/11,714.76
  6. Step 6: Final answer
    x = 8,844.72

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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.