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Finding the Fourth Proportional to 10,099.22, 13,890.56 and 8,105.40

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Solution

The fourth proportional to 10,099.22, 13,890.56 and 8,105.40 is: 11,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.22 : 13,890.56 = 8,105.40 : x
  2. Step 2: Convert to fraction form
    10,099.22/13,890.56 = 8,105.40/x
  3. Step 3: Cross multiply
    10,099.22x = 13,890.56 × 8,105.40
  4. Step 4: Simplify right side
    10,099.22x = 112,588,504.50
  5. Step 5: Solve for x
    x = 112,588,504.50/10,099.22
  6. Step 6: Final answer
    x = 11,148.24

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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.