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Finding the Fourth Proportional to 7,446.06, 11,163.12 and 5,100.30

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Solution

The fourth proportional to 7,446.06, 11,163.12 and 5,100.30 is: 7,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.06 : 11,163.12 = 5,100.30 : x
  2. Step 2: Convert to fraction form
    7,446.06/11,163.12 = 5,100.30/x
  3. Step 3: Cross multiply
    7,446.06x = 11,163.12 × 5,100.30
  4. Step 4: Simplify right side
    7,446.06x = 56,935,260.94
  5. Step 5: Solve for x
    x = 56,935,260.94/7,446.06
  6. Step 6: Final answer
    x = 7,646.36

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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.