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Finding the Fourth Proportional to 11,862.72, 17,763.84 and 7,464.96

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Solution

The fourth proportional to 11,862.72, 17,763.84 and 7,464.96 is: 11,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.72 : 17,763.84 = 7,464.96 : x
  2. Step 2: Convert to fraction form
    11,862.72/17,763.84 = 7,464.96/x
  3. Step 3: Cross multiply
    11,862.72x = 17,763.84 × 7,464.96
  4. Step 4: Simplify right side
    11,862.72x = 132,606,355.05
  5. Step 5: Solve for x
    x = 132,606,355.05/11,862.72
  6. Step 6: Final answer
    x = 11,178.41

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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.