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Finding the Fourth Proportional to 7,586.87, 11,373.31 and 5,122.54

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Solution

The fourth proportional to 7,586.87, 11,373.31 and 5,122.54 is: 7,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.87 : 11,373.31 = 5,122.54 : x
  2. Step 2: Convert to fraction form
    7,586.87/11,373.31 = 5,122.54/x
  3. Step 3: Cross multiply
    7,586.87x = 11,373.31 × 5,122.54
  4. Step 4: Simplify right side
    7,586.87x = 58,260,256.03
  5. Step 5: Solve for x
    x = 58,260,256.03/7,586.87
  6. Step 6: Final answer
    x = 7,679.09

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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.