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Finding the Fourth Proportional to 10,677.22, 14,735.22 and 5,961.50

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Solution

The fourth proportional to 10,677.22, 14,735.22 and 5,961.50 is: 8,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.22 : 14,735.22 = 5,961.50 : x
  2. Step 2: Convert to fraction form
    10,677.22/14,735.22 = 5,961.50/x
  3. Step 3: Cross multiply
    10,677.22x = 14,735.22 × 5,961.50
  4. Step 4: Simplify right side
    10,677.22x = 87,843,973.26
  5. Step 5: Solve for x
    x = 87,843,973.26/10,677.22
  6. Step 6: Final answer
    x = 8,227.23

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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.