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Finding the Fourth Proportional to 11,714.84, 16,166.34 and 6,409.64

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Solution

The fourth proportional to 11,714.84, 16,166.34 and 6,409.64 is: 8,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.84 : 16,166.34 = 6,409.64 : x
  2. Step 2: Convert to fraction form
    11,714.84/16,166.34 = 6,409.64/x
  3. Step 3: Cross multiply
    11,714.84x = 16,166.34 × 6,409.64
  4. Step 4: Simplify right side
    11,714.84x = 103,620,419.52
  5. Step 5: Solve for x
    x = 103,620,419.52/11,714.84
  6. Step 6: Final answer
    x = 8,845.23

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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.