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Finding the Fourth Proportional to 10,665.86, 15,998.21 and 3,270.35

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Solution

The fourth proportional to 10,665.86, 15,998.21 and 3,270.35 is: 4,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.86 : 15,998.21 = 3,270.35 : x
  2. Step 2: Convert to fraction form
    10,665.86/15,998.21 = 3,270.35/x
  3. Step 3: Cross multiply
    10,665.86x = 15,998.21 × 3,270.35
  4. Step 4: Simplify right side
    10,665.86x = 52,319,649.73
  5. Step 5: Solve for x
    x = 52,319,649.73/10,665.86
  6. Step 6: Final answer
    x = 4,905.34

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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.