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Finding the Fourth Proportional to 10,649.63, 14,682.83 and 8,728.37

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Solution

The fourth proportional to 10,649.63, 14,682.83 and 8,728.37 is: 12,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.63 : 14,682.83 = 8,728.37 : x
  2. Step 2: Convert to fraction form
    10,649.63/14,682.83 = 8,728.37/x
  3. Step 3: Cross multiply
    10,649.63x = 14,682.83 × 8,728.37
  4. Step 4: Simplify right side
    10,649.63x = 128,157,129.25
  5. Step 5: Solve for x
    x = 128,157,129.25/10,649.63
  6. Step 6: Final answer
    x = 12,033.96

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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.