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Finding the Fourth Proportional to 7,633.35, 11,451.24 and 2,438.01

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Solution

The fourth proportional to 7,633.35, 11,451.24 and 2,438.01 is: 3,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.35 : 11,451.24 = 2,438.01 : x
  2. Step 2: Convert to fraction form
    7,633.35/11,451.24 = 2,438.01/x
  3. Step 3: Cross multiply
    7,633.35x = 11,451.24 × 2,438.01
  4. Step 4: Simplify right side
    7,633.35x = 27,918,237.63
  5. Step 5: Solve for x
    x = 27,918,237.63/7,633.35
  6. Step 6: Final answer
    x = 3,657.40

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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.