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Finding the Fourth Proportional to 10,483.20, 15,724.80 and 4,638.48

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Solution

The fourth proportional to 10,483.20, 15,724.80 and 4,638.48 is: 6,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.20 : 15,724.80 = 4,638.48 : x
  2. Step 2: Convert to fraction form
    10,483.20/15,724.80 = 4,638.48/x
  3. Step 3: Cross multiply
    10,483.20x = 15,724.80 × 4,638.48
  4. Step 4: Simplify right side
    10,483.20x = 72,939,170.30
  5. Step 5: Solve for x
    x = 72,939,170.30/10,483.20
  6. Step 6: Final answer
    x = 6,957.72

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