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Finding the Fourth Proportional to 7,651.58, 11,450 and 5,996.76

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Solution

The fourth proportional to 7,651.58, 11,450 and 5,996.76 is: 8,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.58 : 11,450 = 5,996.76 : x
  2. Step 2: Convert to fraction form
    7,651.58/11,450 = 5,996.76/x
  3. Step 3: Cross multiply
    7,651.58x = 11,450 × 5,996.76
  4. Step 4: Simplify right side
    7,651.58x = 68,662,902
  5. Step 5: Solve for x
    x = 68,662,902/7,651.58
  6. Step 6: Final answer
    x = 8,973.69

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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.