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Finding the Fourth Proportional to 7,842.81, 11,762.42 and 4,681.14

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Solution

The fourth proportional to 7,842.81, 11,762.42 and 4,681.14 is: 7,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.81 : 11,762.42 = 4,681.14 : x
  2. Step 2: Convert to fraction form
    7,842.81/11,762.42 = 4,681.14/x
  3. Step 3: Cross multiply
    7,842.81x = 11,762.42 × 4,681.14
  4. Step 4: Simplify right side
    7,842.81x = 55,061,546.46
  5. Step 5: Solve for x
    x = 55,061,546.46/7,842.81
  6. Step 6: Final answer
    x = 7,020.64

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