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Finding the Fourth Proportional to 10,108.70, 15,163.05 and 9,682.10

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Solution

The fourth proportional to 10,108.70, 15,163.05 and 9,682.10 is: 14,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.70 : 15,163.05 = 9,682.10 : x
  2. Step 2: Convert to fraction form
    10,108.70/15,163.05 = 9,682.10/x
  3. Step 3: Cross multiply
    10,108.70x = 15,163.05 × 9,682.10
  4. Step 4: Simplify right side
    10,108.70x = 146,810,166.41
  5. Step 5: Solve for x
    x = 146,810,166.41/10,108.70
  6. Step 6: Final answer
    x = 14,523.15

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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.