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Finding the Fourth Proportional to 10,966.68, 16,432.74 and 6,578.64

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Solution

The fourth proportional to 10,966.68, 16,432.74 and 6,578.64 is: 9,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.68 : 16,432.74 = 6,578.64 : x
  2. Step 2: Convert to fraction form
    10,966.68/16,432.74 = 6,578.64/x
  3. Step 3: Cross multiply
    10,966.68x = 16,432.74 × 6,578.64
  4. Step 4: Simplify right side
    10,966.68x = 108,105,080.67
  5. Step 5: Solve for x
    x = 108,105,080.67/10,966.68
  6. Step 6: Final answer
    x = 9,857.59

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