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Finding the Fourth Proportional to 10,193.98, 15,292.49 and 3,619.61

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Solution

The fourth proportional to 10,193.98, 15,292.49 and 3,619.61 is: 5,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.98 : 15,292.49 = 3,619.61 : x
  2. Step 2: Convert to fraction form
    10,193.98/15,292.49 = 3,619.61/x
  3. Step 3: Cross multiply
    10,193.98x = 15,292.49 × 3,619.61
  4. Step 4: Simplify right side
    10,193.98x = 55,352,849.73
  5. Step 5: Solve for x
    x = 55,352,849.73/10,193.98
  6. Step 6: Final answer
    x = 5,429.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.