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Finding the Fourth Proportional to 11,633.00, 17,438.69 and 4,235.78

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Solution

The fourth proportional to 11,633.00, 17,438.69 and 4,235.78 is: 6,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.00 : 17,438.69 = 4,235.78 : x
  2. Step 2: Convert to fraction form
    11,633.00/17,438.69 = 4,235.78/x
  3. Step 3: Cross multiply
    11,633.00x = 17,438.69 × 4,235.78
  4. Step 4: Simplify right side
    11,633.00x = 73,866,411.35
  5. Step 5: Solve for x
    x = 73,866,411.35/11,633.00
  6. Step 6: Final answer
    x = 6,349.73

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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.