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Finding the Fourth Proportional to 11,758.42, 17,633.18 and 4,736.05

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Solution

The fourth proportional to 11,758.42, 17,633.18 and 4,736.05 is: 7,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.42 : 17,633.18 = 4,736.05 : x
  2. Step 2: Convert to fraction form
    11,758.42/17,633.18 = 4,736.05/x
  3. Step 3: Cross multiply
    11,758.42x = 17,633.18 × 4,736.05
  4. Step 4: Simplify right side
    11,758.42x = 83,511,510.29
  5. Step 5: Solve for x
    x = 83,511,510.29/11,758.42
  6. Step 6: Final answer
    x = 7,102.28

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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.