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Finding the Fourth Proportional to 10,768.72, 14,842.56 and 8,215.60

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Solution

The fourth proportional to 10,768.72, 14,842.56 and 8,215.60 is: 11,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.72 : 14,842.56 = 8,215.60 : x
  2. Step 2: Convert to fraction form
    10,768.72/14,842.56 = 8,215.60/x
  3. Step 3: Cross multiply
    10,768.72x = 14,842.56 × 8,215.60
  4. Step 4: Simplify right side
    10,768.72x = 121,940,535.94
  5. Step 5: Solve for x
    x = 121,940,535.94/10,768.72
  6. Step 6: Final answer
    x = 11,323.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.