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Finding the Fourth Proportional to 7,756.20, 11,627.04 and 2,824.60

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Solution

The fourth proportional to 7,756.20, 11,627.04 and 2,824.60 is: 4,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.20 : 11,627.04 = 2,824.60 : x
  2. Step 2: Convert to fraction form
    7,756.20/11,627.04 = 2,824.60/x
  3. Step 3: Cross multiply
    7,756.20x = 11,627.04 × 2,824.60
  4. Step 4: Simplify right side
    7,756.20x = 32,841,737.18
  5. Step 5: Solve for x
    x = 32,841,737.18/7,756.20
  6. Step 6: Final answer
    x = 4,234.26

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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.