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Finding the Fourth Proportional to 11,753.75, 16,220.09 and 6,376.17

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Solution

The fourth proportional to 11,753.75, 16,220.09 and 6,376.17 is: 8,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.75 : 16,220.09 = 6,376.17 : x
  2. Step 2: Convert to fraction form
    11,753.75/16,220.09 = 6,376.17/x
  3. Step 3: Cross multiply
    11,753.75x = 16,220.09 × 6,376.17
  4. Step 4: Simplify right side
    11,753.75x = 103,422,051.26
  5. Step 5: Solve for x
    x = 103,422,051.26/11,753.75
  6. Step 6: Final answer
    x = 8,799.07

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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.