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Finding the Fourth Proportional to 6,845.76, 10,264.80 and 4,657.44

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Solution

The fourth proportional to 6,845.76, 10,264.80 and 4,657.44 is: 6,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.76 : 10,264.80 = 4,657.44 : x
  2. Step 2: Convert to fraction form
    6,845.76/10,264.80 = 4,657.44/x
  3. Step 3: Cross multiply
    6,845.76x = 10,264.80 × 4,657.44
  4. Step 4: Simplify right side
    6,845.76x = 47,807,690.11
  5. Step 5: Solve for x
    x = 47,807,690.11/6,845.76
  6. Step 6: Final answer
    x = 6,983.55

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