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Finding the Fourth Proportional to 7,766.40, 11,652.64 and 4,477.76

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Solution

The fourth proportional to 7,766.40, 11,652.64 and 4,477.76 is: 6,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.40 : 11,652.64 = 4,477.76 : x
  2. Step 2: Convert to fraction form
    7,766.40/11,652.64 = 4,477.76/x
  3. Step 3: Cross multiply
    7,766.40x = 11,652.64 × 4,477.76
  4. Step 4: Simplify right side
    7,766.40x = 52,177,725.29
  5. Step 5: Solve for x
    x = 52,177,725.29/7,766.40
  6. Step 6: Final answer
    x = 6,718.39

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