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Finding the Fourth Proportional to 10,484.81, 15,734.50 and 6,777.84

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Solution

The fourth proportional to 10,484.81, 15,734.50 and 6,777.84 is: 10,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.81 : 15,734.50 = 6,777.84 : x
  2. Step 2: Convert to fraction form
    10,484.81/15,734.50 = 6,777.84/x
  3. Step 3: Cross multiply
    10,484.81x = 15,734.50 × 6,777.84
  4. Step 4: Simplify right side
    10,484.81x = 106,646,003.67
  5. Step 5: Solve for x
    x = 106,646,003.67/10,484.81
  6. Step 6: Final answer
    x = 10,171.48

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