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Finding the Fourth Proportional to 10,506.24, 15,749.28 and 4,662.24

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Solution

The fourth proportional to 10,506.24, 15,749.28 and 4,662.24 is: 6,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.24 : 15,749.28 = 4,662.24 : x
  2. Step 2: Convert to fraction form
    10,506.24/15,749.28 = 4,662.24/x
  3. Step 3: Cross multiply
    10,506.24x = 15,749.28 × 4,662.24
  4. Step 4: Simplify right side
    10,506.24x = 73,426,923.19
  5. Step 5: Solve for x
    x = 73,426,923.19/10,506.24
  6. Step 6: Final answer
    x = 6,988.89

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