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Finding the Fourth Proportional to 5,102.83, 7,700.20 and 4,919.77

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Solution

The fourth proportional to 5,102.83, 7,700.20 and 4,919.77 is: 7,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.83 : 7,700.20 = 4,919.77 : x
  2. Step 2: Convert to fraction form
    5,102.83/7,700.20 = 4,919.77/x
  3. Step 3: Cross multiply
    5,102.83x = 7,700.20 × 4,919.77
  4. Step 4: Simplify right side
    5,102.83x = 37,883,212.95
  5. Step 5: Solve for x
    x = 37,883,212.95/5,102.83
  6. Step 6: Final answer
    x = 7,423.96

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