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Finding the Fourth Proportional to 10,518.81, 15,767.55 and 6,823.40

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Solution

The fourth proportional to 10,518.81, 15,767.55 and 6,823.40 is: 10,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.81 : 15,767.55 = 6,823.40 : x
  2. Step 2: Convert to fraction form
    10,518.81/15,767.55 = 6,823.40/x
  3. Step 3: Cross multiply
    10,518.81x = 15,767.55 × 6,823.40
  4. Step 4: Simplify right side
    10,518.81x = 107,588,221.83
  5. Step 5: Solve for x
    x = 107,588,221.83/10,518.81
  6. Step 6: Final answer
    x = 10,228.17

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