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Finding the Fourth Proportional to 10,638.79, 14,683.28 and 8,116.14

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Solution

The fourth proportional to 10,638.79, 14,683.28 and 8,116.14 is: 11,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.79 : 14,683.28 = 8,116.14 : x
  2. Step 2: Convert to fraction form
    10,638.79/14,683.28 = 8,116.14/x
  3. Step 3: Cross multiply
    10,638.79x = 14,683.28 × 8,116.14
  4. Step 4: Simplify right side
    10,638.79x = 119,171,556.14
  5. Step 5: Solve for x
    x = 119,171,556.14/10,638.79
  6. Step 6: Final answer
    x = 11,201.61

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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.