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Finding the Fourth Proportional to 10,422.54, 14,385.15 and 5,945.85

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Solution

The fourth proportional to 10,422.54, 14,385.15 and 5,945.85 is: 8,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.54 : 14,385.15 = 5,945.85 : x
  2. Step 2: Convert to fraction form
    10,422.54/14,385.15 = 5,945.85/x
  3. Step 3: Cross multiply
    10,422.54x = 14,385.15 × 5,945.85
  4. Step 4: Simplify right side
    10,422.54x = 85,531,944.13
  5. Step 5: Solve for x
    x = 85,531,944.13/10,422.54
  6. Step 6: Final answer
    x = 8,206.44

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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.