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Finding the Fourth Proportional to 11,777.79, 17,659.90 and 4,761.17

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Solution

The fourth proportional to 11,777.79, 17,659.90 and 4,761.17 is: 7,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.79 : 17,659.90 = 4,761.17 : x
  2. Step 2: Convert to fraction form
    11,777.79/17,659.90 = 4,761.17/x
  3. Step 3: Cross multiply
    11,777.79x = 17,659.90 × 4,761.17
  4. Step 4: Simplify right side
    11,777.79x = 84,081,786.08
  5. Step 5: Solve for x
    x = 84,081,786.08/11,777.79
  6. Step 6: Final answer
    x = 7,139.01

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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.