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Finding the Fourth Proportional to 10,541.94, 15,800.12 and 7,742.66

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Solution

The fourth proportional to 10,541.94, 15,800.12 and 7,742.66 is: 11,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.94 : 15,800.12 = 7,742.66 : x
  2. Step 2: Convert to fraction form
    10,541.94/15,800.12 = 7,742.66/x
  3. Step 3: Cross multiply
    10,541.94x = 15,800.12 × 7,742.66
  4. Step 4: Simplify right side
    10,541.94x = 122,334,897.48
  5. Step 5: Solve for x
    x = 122,334,897.48/10,541.94
  6. Step 6: Final answer
    x = 11,604.59

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