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Finding the Fourth Proportional to 7,620.64, 11,434.60 and 3,463.60

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Solution

The fourth proportional to 7,620.64, 11,434.60 and 3,463.60 is: 5,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.64 : 11,434.60 = 3,463.60 : x
  2. Step 2: Convert to fraction form
    7,620.64/11,434.60 = 3,463.60/x
  3. Step 3: Cross multiply
    7,620.64x = 11,434.60 × 3,463.60
  4. Step 4: Simplify right side
    7,620.64x = 39,604,880.56
  5. Step 5: Solve for x
    x = 39,604,880.56/7,620.64
  6. Step 6: Final answer
    x = 5,197.05

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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.