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Finding the Fourth Proportional to 8,138.34, 11,230.32 and 4,601.46

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Solution

The fourth proportional to 8,138.34, 11,230.32 and 4,601.46 is: 6,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.34 : 11,230.32 = 4,601.46 : x
  2. Step 2: Convert to fraction form
    8,138.34/11,230.32 = 4,601.46/x
  3. Step 3: Cross multiply
    8,138.34x = 11,230.32 × 4,601.46
  4. Step 4: Simplify right side
    8,138.34x = 51,675,868.27
  5. Step 5: Solve for x
    x = 51,675,868.27/8,138.34
  6. Step 6: Final answer
    x = 6,349.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.