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Finding the Fourth Proportional to 7,546.42, 11,318.64 and 2,000.09

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Solution

The fourth proportional to 7,546.42, 11,318.64 and 2,000.09 is: 2,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.42 : 11,318.64 = 2,000.09 : x
  2. Step 2: Convert to fraction form
    7,546.42/11,318.64 = 2,000.09/x
  3. Step 3: Cross multiply
    7,546.42x = 11,318.64 × 2,000.09
  4. Step 4: Simplify right side
    7,546.42x = 22,638,319.47
  5. Step 5: Solve for x
    x = 22,638,319.47/7,546.42
  6. Step 6: Final answer
    x = 2,999.88

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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.