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Finding the Fourth Proportional to 10,541.63, 14,547.65 and 5,825.81

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Solution

The fourth proportional to 10,541.63, 14,547.65 and 5,825.81 is: 8,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.63 : 14,547.65 = 5,825.81 : x
  2. Step 2: Convert to fraction form
    10,541.63/14,547.65 = 5,825.81/x
  3. Step 3: Cross multiply
    10,541.63x = 14,547.65 × 5,825.81
  4. Step 4: Simplify right side
    10,541.63x = 84,751,844.85
  5. Step 5: Solve for x
    x = 84,751,844.85/10,541.63
  6. Step 6: Final answer
    x = 8,039.73

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