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Finding the Fourth Proportional to 7,546.50, 11,321.37 and 2,929.50

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Solution

The fourth proportional to 7,546.50, 11,321.37 and 2,929.50 is: 4,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.50 : 11,321.37 = 2,929.50 : x
  2. Step 2: Convert to fraction form
    7,546.50/11,321.37 = 2,929.50/x
  3. Step 3: Cross multiply
    7,546.50x = 11,321.37 × 2,929.50
  4. Step 4: Simplify right side
    7,546.50x = 33,165,953.42
  5. Step 5: Solve for x
    x = 33,165,953.42/7,546.50
  6. Step 6: Final answer
    x = 4,394.88

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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.