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Finding the Fourth Proportional to 10,665.64, 15,999.09 and 3,270.17

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Solution

The fourth proportional to 10,665.64, 15,999.09 and 3,270.17 is: 4,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.64 : 15,999.09 = 3,270.17 : x
  2. Step 2: Convert to fraction form
    10,665.64/15,999.09 = 3,270.17/x
  3. Step 3: Cross multiply
    10,665.64x = 15,999.09 × 3,270.17
  4. Step 4: Simplify right side
    10,665.64x = 52,319,771.88
  5. Step 5: Solve for x
    x = 52,319,771.88/10,665.64
  6. Step 6: Final answer
    x = 4,905.45

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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.