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Finding the Fourth Proportional to 7,649.69, 11,450.70 and 5,890.14

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Solution

The fourth proportional to 7,649.69, 11,450.70 and 5,890.14 is: 8,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.69 : 11,450.70 = 5,890.14 : x
  2. Step 2: Convert to fraction form
    7,649.69/11,450.70 = 5,890.14/x
  3. Step 3: Cross multiply
    7,649.69x = 11,450.70 × 5,890.14
  4. Step 4: Simplify right side
    7,649.69x = 67,446,226.10
  5. Step 5: Solve for x
    x = 67,446,226.10/7,649.69
  6. Step 6: Final answer
    x = 8,816.86

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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.