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Finding the Fourth Proportional to 10,191.98, 15,289.49 and 3,617.61

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Solution

The fourth proportional to 10,191.98, 15,289.49 and 3,617.61 is: 5,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.98 : 15,289.49 = 3,617.61 : x
  2. Step 2: Convert to fraction form
    10,191.98/15,289.49 = 3,617.61/x
  3. Step 3: Cross multiply
    10,191.98x = 15,289.49 × 3,617.61
  4. Step 4: Simplify right side
    10,191.98x = 55,311,393.83
  5. Step 5: Solve for x
    x = 55,311,393.83/10,191.98
  6. Step 6: Final answer
    x = 5,426.96

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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.