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Finding the Fourth Proportional to 7,384.06, 11,076.09 and 3,000.49

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Solution

The fourth proportional to 7,384.06, 11,076.09 and 3,000.49 is: 4,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.06 : 11,076.09 = 3,000.49 : x
  2. Step 2: Convert to fraction form
    7,384.06/11,076.09 = 3,000.49/x
  3. Step 3: Cross multiply
    7,384.06x = 11,076.09 × 3,000.49
  4. Step 4: Simplify right side
    7,384.06x = 33,233,697.28
  5. Step 5: Solve for x
    x = 33,233,697.28/7,384.06
  6. Step 6: Final answer
    x = 4,500.74

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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.