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Finding the Fourth Proportional to 7,586.06, 11,379.10 and 2,654.53

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Solution

The fourth proportional to 7,586.06, 11,379.10 and 2,654.53 is: 3,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.06 : 11,379.10 = 2,654.53 : x
  2. Step 2: Convert to fraction form
    7,586.06/11,379.10 = 2,654.53/x
  3. Step 3: Cross multiply
    7,586.06x = 11,379.10 × 2,654.53
  4. Step 4: Simplify right side
    7,586.06x = 30,206,127.24
  5. Step 5: Solve for x
    x = 30,206,127.24/7,586.06
  6. Step 6: Final answer
    x = 3,981.79

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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.