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Finding the Fourth Proportional to 7,734.67, 11,587.64 and 5,234.65

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Solution

The fourth proportional to 7,734.67, 11,587.64 and 5,234.65 is: 7,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.67 : 11,587.64 = 5,234.65 : x
  2. Step 2: Convert to fraction form
    7,734.67/11,587.64 = 5,234.65/x
  3. Step 3: Cross multiply
    7,734.67x = 11,587.64 × 5,234.65
  4. Step 4: Simplify right side
    7,734.67x = 60,657,184.58
  5. Step 5: Solve for x
    x = 60,657,184.58/7,734.67
  6. Step 6: Final answer
    x = 7,842.25

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