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Finding the Fourth Proportional to 7,630.73, 11,448.90 and 3,188.87

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Solution

The fourth proportional to 7,630.73, 11,448.90 and 3,188.87 is: 4,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.73 : 11,448.90 = 3,188.87 : x
  2. Step 2: Convert to fraction form
    7,630.73/11,448.90 = 3,188.87/x
  3. Step 3: Cross multiply
    7,630.73x = 11,448.90 × 3,188.87
  4. Step 4: Simplify right side
    7,630.73x = 36,508,996.50
  5. Step 5: Solve for x
    x = 36,508,996.50/7,630.73
  6. Step 6: Final answer
    x = 4,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.