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Finding the Fourth Proportional to 8,390.46, 12,586.08 and 5,936.26

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Solution

The fourth proportional to 8,390.46, 12,586.08 and 5,936.26 is: 8,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.46 : 12,586.08 = 5,936.26 : x
  2. Step 2: Convert to fraction form
    8,390.46/12,586.08 = 5,936.26/x
  3. Step 3: Cross multiply
    8,390.46x = 12,586.08 × 5,936.26
  4. Step 4: Simplify right side
    8,390.46x = 74,714,243.26
  5. Step 5: Solve for x
    x = 74,714,243.26/8,390.46
  6. Step 6: Final answer
    x = 8,904.67

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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.