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Finding the Fourth Proportional to 7,592.09, 11,380.64 and 3,638.79

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Solution

The fourth proportional to 7,592.09, 11,380.64 and 3,638.79 is: 5,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.09 : 11,380.64 = 3,638.79 : x
  2. Step 2: Convert to fraction form
    7,592.09/11,380.64 = 3,638.79/x
  3. Step 3: Cross multiply
    7,592.09x = 11,380.64 × 3,638.79
  4. Step 4: Simplify right side
    7,592.09x = 41,411,740.83
  5. Step 5: Solve for x
    x = 41,411,740.83/7,592.09
  6. Step 6: Final answer
    x = 5,454.59

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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.