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Finding the Fourth Proportional to 7,720.20, 11,569.20 and 4,796.80

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Solution

The fourth proportional to 7,720.20, 11,569.20 and 4,796.80 is: 7,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.20 : 11,569.20 = 4,796.80 : x
  2. Step 2: Convert to fraction form
    7,720.20/11,569.20 = 4,796.80/x
  3. Step 3: Cross multiply
    7,720.20x = 11,569.20 × 4,796.80
  4. Step 4: Simplify right side
    7,720.20x = 55,495,138.56
  5. Step 5: Solve for x
    x = 55,495,138.56/7,720.20
  6. Step 6: Final answer
    x = 7,188.30

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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.