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Finding the Fourth Proportional to 10,506.38, 15,764.09 and 3,931.74

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Solution

The fourth proportional to 10,506.38, 15,764.09 and 3,931.74 is: 5,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.38 : 15,764.09 = 3,931.74 : x
  2. Step 2: Convert to fraction form
    10,506.38/15,764.09 = 3,931.74/x
  3. Step 3: Cross multiply
    10,506.38x = 15,764.09 × 3,931.74
  4. Step 4: Simplify right side
    10,506.38x = 61,980,283.56
  5. Step 5: Solve for x
    x = 61,980,283.56/10,506.38
  6. Step 6: Final answer
    x = 5,899.30

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