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Finding the Fourth Proportional to 8,269.38, 12,395.76 and 4,102.98

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Solution

The fourth proportional to 8,269.38, 12,395.76 and 4,102.98 is: 6,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.38 : 12,395.76 = 4,102.98 : x
  2. Step 2: Convert to fraction form
    8,269.38/12,395.76 = 4,102.98/x
  3. Step 3: Cross multiply
    8,269.38x = 12,395.76 × 4,102.98
  4. Step 4: Simplify right side
    8,269.38x = 50,859,555.36
  5. Step 5: Solve for x
    x = 50,859,555.36/8,269.38
  6. Step 6: Final answer
    x = 6,150.35

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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.