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Finding the Fourth Proportional to 10,016.29, 13,817.88 and 6,480.64

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Solution

The fourth proportional to 10,016.29, 13,817.88 and 6,480.64 is: 8,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.29 : 13,817.88 = 6,480.64 : x
  2. Step 2: Convert to fraction form
    10,016.29/13,817.88 = 6,480.64/x
  3. Step 3: Cross multiply
    10,016.29x = 13,817.88 × 6,480.64
  4. Step 4: Simplify right side
    10,016.29x = 89,548,705.84
  5. Step 5: Solve for x
    x = 89,548,705.84/10,016.29
  6. Step 6: Final answer
    x = 8,940.31

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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.