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Finding the Fourth Proportional to 7,522.50, 10,380.89 and 4,165.12

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Solution

The fourth proportional to 7,522.50, 10,380.89 and 4,165.12 is: 5,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.50 : 10,380.89 = 4,165.12 : x
  2. Step 2: Convert to fraction form
    7,522.50/10,380.89 = 4,165.12/x
  3. Step 3: Cross multiply
    7,522.50x = 10,380.89 × 4,165.12
  4. Step 4: Simplify right side
    7,522.50x = 43,237,579.83
  5. Step 5: Solve for x
    x = 43,237,579.83/7,522.50
  6. Step 6: Final answer
    x = 5,747.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.