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Finding the Fourth Proportional to 7,586.04, 11,379.06 and 3,204.12

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Solution

The fourth proportional to 7,586.04, 11,379.06 and 3,204.12 is: 4,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.04 : 11,379.06 = 3,204.12 : x
  2. Step 2: Convert to fraction form
    7,586.04/11,379.06 = 3,204.12/x
  3. Step 3: Cross multiply
    7,586.04x = 11,379.06 × 3,204.12
  4. Step 4: Simplify right side
    7,586.04x = 36,459,873.73
  5. Step 5: Solve for x
    x = 36,459,873.73/7,586.04
  6. Step 6: Final answer
    x = 4,806.18

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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.