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Finding the Fourth Proportional to 10,271.94, 15,378.75 and 6,564.98

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Solution

The fourth proportional to 10,271.94, 15,378.75 and 6,564.98 is: 9,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.94 : 15,378.75 = 6,564.98 : x
  2. Step 2: Convert to fraction form
    10,271.94/15,378.75 = 6,564.98/x
  3. Step 3: Cross multiply
    10,271.94x = 15,378.75 × 6,564.98
  4. Step 4: Simplify right side
    10,271.94x = 100,961,109.28
  5. Step 5: Solve for x
    x = 100,961,109.28/10,271.94
  6. Step 6: Final answer
    x = 9,828.83

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