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Finding the Fourth Proportional to 12,078.96, 18,105.48 and 5,910

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Solution

The fourth proportional to 12,078.96, 18,105.48 and 5,910 is: 8,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.96 : 18,105.48 = 5,910 : x
  2. Step 2: Convert to fraction form
    12,078.96/18,105.48 = 5,910/x
  3. Step 3: Cross multiply
    12,078.96x = 18,105.48 × 5,910
  4. Step 4: Simplify right side
    12,078.96x = 107,003,386.80
  5. Step 5: Solve for x
    x = 107,003,386.80/12,078.96
  6. Step 6: Final answer
    x = 8,858.66

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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.