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Finding the Fourth Proportional to 7,640.68, 11,441.58 and 5,035.72

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Solution

The fourth proportional to 7,640.68, 11,441.58 and 5,035.72 is: 7,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.68 : 11,441.58 = 5,035.72 : x
  2. Step 2: Convert to fraction form
    7,640.68/11,441.58 = 5,035.72/x
  3. Step 3: Cross multiply
    7,640.68x = 11,441.58 × 5,035.72
  4. Step 4: Simplify right side
    7,640.68x = 57,616,593.24
  5. Step 5: Solve for x
    x = 57,616,593.24/7,640.68
  6. Step 6: Final answer
    x = 7,540.77

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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.