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Finding the Fourth Proportional to 7,857.82, 10,838.14 and 5,335.55

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Solution

The fourth proportional to 7,857.82, 10,838.14 and 5,335.55 is: 7,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.82 : 10,838.14 = 5,335.55 : x
  2. Step 2: Convert to fraction form
    7,857.82/10,838.14 = 5,335.55/x
  3. Step 3: Cross multiply
    7,857.82x = 10,838.14 × 5,335.55
  4. Step 4: Simplify right side
    7,857.82x = 57,827,411.20
  5. Step 5: Solve for x
    x = 57,827,411.20/7,857.82
  6. Step 6: Final answer
    x = 7,359.22

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