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Finding the Fourth Proportional to 10,766.64, 14,857.76 and 6,574.89

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Solution

The fourth proportional to 10,766.64, 14,857.76 and 6,574.89 is: 9,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.64 : 14,857.76 = 6,574.89 : x
  2. Step 2: Convert to fraction form
    10,766.64/14,857.76 = 6,574.89/x
  3. Step 3: Cross multiply
    10,766.64x = 14,857.76 × 6,574.89
  4. Step 4: Simplify right side
    10,766.64x = 97,688,104.77
  5. Step 5: Solve for x
    x = 97,688,104.77/10,766.64
  6. Step 6: Final answer
    x = 9,073.22

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