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Finding the Fourth Proportional to 7,788.57, 11,680.21 and 2,522.15

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Solution

The fourth proportional to 7,788.57, 11,680.21 and 2,522.15 is: 3,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.57 : 11,680.21 = 2,522.15 : x
  2. Step 2: Convert to fraction form
    7,788.57/11,680.21 = 2,522.15/x
  3. Step 3: Cross multiply
    7,788.57x = 11,680.21 × 2,522.15
  4. Step 4: Simplify right side
    7,788.57x = 29,459,250.18
  5. Step 5: Solve for x
    x = 29,459,250.18/7,788.57
  6. Step 6: Final answer
    x = 3,782.37

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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.