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Finding the Fourth Proportional to 10,604.20, 14,634.66 and 5,890

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Solution

The fourth proportional to 10,604.20, 14,634.66 and 5,890 is: 8,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.20 : 14,634.66 = 5,890 : x
  2. Step 2: Convert to fraction form
    10,604.20/14,634.66 = 5,890/x
  3. Step 3: Cross multiply
    10,604.20x = 14,634.66 × 5,890
  4. Step 4: Simplify right side
    10,604.20x = 86,198,147.40
  5. Step 5: Solve for x
    x = 86,198,147.40/10,604.20
  6. Step 6: Final answer
    x = 8,128.68

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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.