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Finding the Fourth Proportional to 10,076.85, 13,892.43 and 8,502.21

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Solution

The fourth proportional to 10,076.85, 13,892.43 and 8,502.21 is: 11,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.85 : 13,892.43 = 8,502.21 : x
  2. Step 2: Convert to fraction form
    10,076.85/13,892.43 = 8,502.21/x
  3. Step 3: Cross multiply
    10,076.85x = 13,892.43 × 8,502.21
  4. Step 4: Simplify right side
    10,076.85x = 118,116,357.27
  5. Step 5: Solve for x
    x = 118,116,357.27/10,076.85
  6. Step 6: Final answer
    x = 11,721.56

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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.