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Finding the Fourth Proportional to 5,215.68, 7,823.82 and 1,320.12

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Solution

The fourth proportional to 5,215.68, 7,823.82 and 1,320.12 is: 1,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.68 : 7,823.82 = 1,320.12 : x
  2. Step 2: Convert to fraction form
    5,215.68/7,823.82 = 1,320.12/x
  3. Step 3: Cross multiply
    5,215.68x = 7,823.82 × 1,320.12
  4. Step 4: Simplify right side
    5,215.68x = 10,328,381.26
  5. Step 5: Solve for x
    x = 10,328,381.26/5,215.68
  6. Step 6: Final answer
    x = 1,980.26

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