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Finding the Fourth Proportional to 6,876.56, 10,312.82 and 3,587.96

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Solution

The fourth proportional to 6,876.56, 10,312.82 and 3,587.96 is: 5,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.56 : 10,312.82 = 3,587.96 : x
  2. Step 2: Convert to fraction form
    6,876.56/10,312.82 = 3,587.96/x
  3. Step 3: Cross multiply
    6,876.56x = 10,312.82 × 3,587.96
  4. Step 4: Simplify right side
    6,876.56x = 37,001,985.65
  5. Step 5: Solve for x
    x = 37,001,985.65/6,876.56
  6. Step 6: Final answer
    x = 5,380.89

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