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Finding the Fourth Proportional to 10,451.94, 14,422.50 and 6,201.48

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Solution

The fourth proportional to 10,451.94, 14,422.50 and 6,201.48 is: 8,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.94 : 14,422.50 = 6,201.48 : x
  2. Step 2: Convert to fraction form
    10,451.94/14,422.50 = 6,201.48/x
  3. Step 3: Cross multiply
    10,451.94x = 14,422.50 × 6,201.48
  4. Step 4: Simplify right side
    10,451.94x = 89,440,845.30
  5. Step 5: Solve for x
    x = 89,440,845.30/10,451.94
  6. Step 6: Final answer
    x = 8,557.34

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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.