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Finding the Fourth Proportional to 7,546.70, 11,320.05 and 5,213.90

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Solution

The fourth proportional to 7,546.70, 11,320.05 and 5,213.90 is: 7,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.70 : 11,320.05 = 5,213.90 : x
  2. Step 2: Convert to fraction form
    7,546.70/11,320.05 = 5,213.90/x
  3. Step 3: Cross multiply
    7,546.70x = 11,320.05 × 5,213.90
  4. Step 4: Simplify right side
    7,546.70x = 59,021,608.70
  5. Step 5: Solve for x
    x = 59,021,608.70/7,546.70
  6. Step 6: Final answer
    x = 7,820.85

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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.