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Finding the Fourth Proportional to 7,565, 11,339.38 and 3,660.80

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Solution

The fourth proportional to 7,565, 11,339.38 and 3,660.80 is: 5,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565 : 11,339.38 = 3,660.80 : x
  2. Step 2: Convert to fraction form
    7,565/11,339.38 = 3,660.80/x
  3. Step 3: Cross multiply
    7,565x = 11,339.38 × 3,660.80
  4. Step 4: Simplify right side
    7,565x = 41,511,202.30
  5. Step 5: Solve for x
    x = 41,511,202.30/7,565
  6. Step 6: Final answer
    x = 5,487.27

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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.