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Finding the Fourth Proportional to 10,420.82, 15,665.10 and 8,363.37

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Solution

The fourth proportional to 10,420.82, 15,665.10 and 8,363.37 is: 12,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.82 : 15,665.10 = 8,363.37 : x
  2. Step 2: Convert to fraction form
    10,420.82/15,665.10 = 8,363.37/x
  3. Step 3: Cross multiply
    10,420.82x = 15,665.10 × 8,363.37
  4. Step 4: Simplify right side
    10,420.82x = 131,013,027.39
  5. Step 5: Solve for x
    x = 131,013,027.39/10,420.82
  6. Step 6: Final answer
    x = 12,572.24

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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.