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Finding the Fourth Proportional to 11,777.80, 17,667.68 and 3,457.48

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Solution

The fourth proportional to 11,777.80, 17,667.68 and 3,457.48 is: 5,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.80 : 17,667.68 = 3,457.48 : x
  2. Step 2: Convert to fraction form
    11,777.80/17,667.68 = 3,457.48/x
  3. Step 3: Cross multiply
    11,777.80x = 17,667.68 × 3,457.48
  4. Step 4: Simplify right side
    11,777.80x = 61,085,650.25
  5. Step 5: Solve for x
    x = 61,085,650.25/11,777.80
  6. Step 6: Final answer
    x = 5,186.51

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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.