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Finding the Fourth Proportional to 10,642.56, 15,952.88 and 4,066.96

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Solution

The fourth proportional to 10,642.56, 15,952.88 and 4,066.96 is: 6,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.56 : 15,952.88 = 4,066.96 : x
  2. Step 2: Convert to fraction form
    10,642.56/15,952.88 = 4,066.96/x
  3. Step 3: Cross multiply
    10,642.56x = 15,952.88 × 4,066.96
  4. Step 4: Simplify right side
    10,642.56x = 64,879,724.84
  5. Step 5: Solve for x
    x = 64,879,724.84/10,642.56
  6. Step 6: Final answer
    x = 6,096.25

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