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Finding the Fourth Proportional to 7,746.64, 11,620.56 and 4,647.76

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Solution

The fourth proportional to 7,746.64, 11,620.56 and 4,647.76 is: 6,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.64 : 11,620.56 = 4,647.76 : x
  2. Step 2: Convert to fraction form
    7,746.64/11,620.56 = 4,647.76/x
  3. Step 3: Cross multiply
    7,746.64x = 11,620.56 × 4,647.76
  4. Step 4: Simplify right side
    7,746.64x = 54,009,573.95
  5. Step 5: Solve for x
    x = 54,009,573.95/7,746.64
  6. Step 6: Final answer
    x = 6,972.00

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