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Finding the Fourth Proportional to 10,714.64, 14,787.28 and 6,177.44

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Solution

The fourth proportional to 10,714.64, 14,787.28 and 6,177.44 is: 8,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.64 : 14,787.28 = 6,177.44 : x
  2. Step 2: Convert to fraction form
    10,714.64/14,787.28 = 6,177.44/x
  3. Step 3: Cross multiply
    10,714.64x = 14,787.28 × 6,177.44
  4. Step 4: Simplify right side
    10,714.64x = 91,347,534.96
  5. Step 5: Solve for x
    x = 91,347,534.96/10,714.64
  6. Step 6: Final answer
    x = 8,525.49

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