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Finding the Fourth Proportional to 7,772.80, 11,647.32 and 5,823.76

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Solution

The fourth proportional to 7,772.80, 11,647.32 and 5,823.76 is: 8,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.80 : 11,647.32 = 5,823.76 : x
  2. Step 2: Convert to fraction form
    7,772.80/11,647.32 = 5,823.76/x
  3. Step 3: Cross multiply
    7,772.80x = 11,647.32 × 5,823.76
  4. Step 4: Simplify right side
    7,772.80x = 67,831,196.32
  5. Step 5: Solve for x
    x = 67,831,196.32/7,772.80
  6. Step 6: Final answer
    x = 8,726.74

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