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Finding the Fourth Proportional to 12,066.68, 18,090.48 and 7,841

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Solution

The fourth proportional to 12,066.68, 18,090.48 and 7,841 is: 11,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.68 : 18,090.48 = 7,841 : x
  2. Step 2: Convert to fraction form
    12,066.68/18,090.48 = 7,841/x
  3. Step 3: Cross multiply
    12,066.68x = 18,090.48 × 7,841
  4. Step 4: Simplify right side
    12,066.68x = 141,847,453.68
  5. Step 5: Solve for x
    x = 141,847,453.68/12,066.68
  6. Step 6: Final answer
    x = 11,755.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.