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Finding the Fourth Proportional to 10,186.86, 15,257.72 and 7,829.51

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Solution

The fourth proportional to 10,186.86, 15,257.72 and 7,829.51 is: 11,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.86 : 15,257.72 = 7,829.51 : x
  2. Step 2: Convert to fraction form
    10,186.86/15,257.72 = 7,829.51/x
  3. Step 3: Cross multiply
    10,186.86x = 15,257.72 × 7,829.51
  4. Step 4: Simplify right side
    10,186.86x = 119,460,456.39
  5. Step 5: Solve for x
    x = 119,460,456.39/10,186.86
  6. Step 6: Final answer
    x = 11,726.91

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