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Finding the Fourth Proportional to 11,760, 17,633.44 and 10,376.56

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Solution

The fourth proportional to 11,760, 17,633.44 and 10,376.56 is: 15,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760 : 17,633.44 = 10,376.56 : x
  2. Step 2: Convert to fraction form
    11,760/17,633.44 = 10,376.56/x
  3. Step 3: Cross multiply
    11,760x = 17,633.44 × 10,376.56
  4. Step 4: Simplify right side
    11,760x = 182,974,448.17
  5. Step 5: Solve for x
    x = 182,974,448.17/11,760
  6. Step 6: Final answer
    x = 15,559.05

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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.