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Finding the Fourth Proportional to 10,670.40, 16,005.69 and 3,274.89

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Solution

The fourth proportional to 10,670.40, 16,005.69 and 3,274.89 is: 4,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.40 : 16,005.69 = 3,274.89 : x
  2. Step 2: Convert to fraction form
    10,670.40/16,005.69 = 3,274.89/x
  3. Step 3: Cross multiply
    10,670.40x = 16,005.69 × 3,274.89
  4. Step 4: Simplify right side
    10,670.40x = 52,416,874.12
  5. Step 5: Solve for x
    x = 52,416,874.12/10,670.40
  6. Step 6: Final answer
    x = 4,912.36

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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.