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Finding the Fourth Proportional to 7,776.09, 11,660.67 and 2,842.29

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Solution

The fourth proportional to 7,776.09, 11,660.67 and 2,842.29 is: 4,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.09 : 11,660.67 = 2,842.29 : x
  2. Step 2: Convert to fraction form
    7,776.09/11,660.67 = 2,842.29/x
  3. Step 3: Cross multiply
    7,776.09x = 11,660.67 × 2,842.29
  4. Step 4: Simplify right side
    7,776.09x = 33,143,005.73
  5. Step 5: Solve for x
    x = 33,143,005.73/7,776.09
  6. Step 6: Final answer
    x = 4,262.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.