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Finding the Fourth Proportional to 10,742.94, 16,099.29 and 8,541.90

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Solution

The fourth proportional to 10,742.94, 16,099.29 and 8,541.90 is: 12,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.94 : 16,099.29 = 8,541.90 : x
  2. Step 2: Convert to fraction form
    10,742.94/16,099.29 = 8,541.90/x
  3. Step 3: Cross multiply
    10,742.94x = 16,099.29 × 8,541.90
  4. Step 4: Simplify right side
    10,742.94x = 137,518,525.25
  5. Step 5: Solve for x
    x = 137,518,525.25/10,742.94
  6. Step 6: Final answer
    x = 12,800.83

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