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Finding the Fourth Proportional to 7,800.16, 10,766.64 and 5,005.12

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Solution

The fourth proportional to 7,800.16, 10,766.64 and 5,005.12 is: 6,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.16 : 10,766.64 = 5,005.12 : x
  2. Step 2: Convert to fraction form
    7,800.16/10,766.64 = 5,005.12/x
  3. Step 3: Cross multiply
    7,800.16x = 10,766.64 × 5,005.12
  4. Step 4: Simplify right side
    7,800.16x = 53,888,325.20
  5. Step 5: Solve for x
    x = 53,888,325.20/7,800.16
  6. Step 6: Final answer
    x = 6,908.62

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