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Finding the Fourth Proportional to 27,586.56, 41,380.08 and 6,810.24

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Solution

The fourth proportional to 27,586.56, 41,380.08 and 6,810.24 is: 10,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.56 : 41,380.08 = 6,810.24 : x
  2. Step 2: Convert to fraction form
    27,586.56/41,380.08 = 6,810.24/x
  3. Step 3: Cross multiply
    27,586.56x = 41,380.08 × 6,810.24
  4. Step 4: Simplify right side
    27,586.56x = 281,808,276.02
  5. Step 5: Solve for x
    x = 281,808,276.02/27,586.56
  6. Step 6: Final answer
    x = 10,215.42

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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.