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Finding the Fourth Proportional to 12,379.57, 18,560.12 and 7,448.06

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Solution

The fourth proportional to 12,379.57, 18,560.12 and 7,448.06 is: 11,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.57 : 18,560.12 = 7,448.06 : x
  2. Step 2: Convert to fraction form
    12,379.57/18,560.12 = 7,448.06/x
  3. Step 3: Cross multiply
    12,379.57x = 18,560.12 × 7,448.06
  4. Step 4: Simplify right side
    12,379.57x = 138,236,995.94
  5. Step 5: Solve for x
    x = 138,236,995.94/12,379.57
  6. Step 6: Final answer
    x = 11,166.54

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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.