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Finding the Fourth Proportional to 10,649.26, 14,705.22 and 6,677.20

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Solution

The fourth proportional to 10,649.26, 14,705.22 and 6,677.20 is: 9,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.26 : 14,705.22 = 6,677.20 : x
  2. Step 2: Convert to fraction form
    10,649.26/14,705.22 = 6,677.20/x
  3. Step 3: Cross multiply
    10,649.26x = 14,705.22 × 6,677.20
  4. Step 4: Simplify right side
    10,649.26x = 98,189,694.98
  5. Step 5: Solve for x
    x = 98,189,694.98/10,649.26
  6. Step 6: Final answer
    x = 9,220.33

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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.