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Finding the Fourth Proportional to 10,016.70, 13,822.83 and 6,237.96

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Solution

The fourth proportional to 10,016.70, 13,822.83 and 6,237.96 is: 8,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.70 : 13,822.83 = 6,237.96 : x
  2. Step 2: Convert to fraction form
    10,016.70/13,822.83 = 6,237.96/x
  3. Step 3: Cross multiply
    10,016.70x = 13,822.83 × 6,237.96
  4. Step 4: Simplify right side
    10,016.70x = 86,226,260.63
  5. Step 5: Solve for x
    x = 86,226,260.63/10,016.70
  6. Step 6: Final answer
    x = 8,608.25

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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.