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Finding the Fourth Proportional to 10,166.86, 15,256.74 and 4,323.46

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Solution

The fourth proportional to 10,166.86, 15,256.74 and 4,323.46 is: 6,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.86 : 15,256.74 = 4,323.46 : x
  2. Step 2: Convert to fraction form
    10,166.86/15,256.74 = 4,323.46/x
  3. Step 3: Cross multiply
    10,166.86x = 15,256.74 × 4,323.46
  4. Step 4: Simplify right side
    10,166.86x = 65,961,905.12
  5. Step 5: Solve for x
    x = 65,961,905.12/10,166.86
  6. Step 6: Final answer
    x = 6,487.93

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