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Finding the Fourth Proportional to 10,402.75, 15,584.35 and 6,177.06

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Solution

The fourth proportional to 10,402.75, 15,584.35 and 6,177.06 is: 9,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.75 : 15,584.35 = 6,177.06 : x
  2. Step 2: Convert to fraction form
    10,402.75/15,584.35 = 6,177.06/x
  3. Step 3: Cross multiply
    10,402.75x = 15,584.35 × 6,177.06
  4. Step 4: Simplify right side
    10,402.75x = 96,265,461.15
  5. Step 5: Solve for x
    x = 96,265,461.15/10,402.75
  6. Step 6: Final answer
    x = 9,253.84

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