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Finding the Fourth Proportional to 7,674.10, 11,511.03 and 3,775.66

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Solution

The fourth proportional to 7,674.10, 11,511.03 and 3,775.66 is: 5,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.10 : 11,511.03 = 3,775.66 : x
  2. Step 2: Convert to fraction form
    7,674.10/11,511.03 = 3,775.66/x
  3. Step 3: Cross multiply
    7,674.10x = 11,511.03 × 3,775.66
  4. Step 4: Simplify right side
    7,674.10x = 43,461,735.53
  5. Step 5: Solve for x
    x = 43,461,735.53/7,674.10
  6. Step 6: Final answer
    x = 5,663.43

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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.