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Finding the Fourth Proportional to 8,186.32, 12,269.52 and 3,737.87

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Solution

The fourth proportional to 8,186.32, 12,269.52 and 3,737.87 is: 5,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.32 : 12,269.52 = 3,737.87 : x
  2. Step 2: Convert to fraction form
    8,186.32/12,269.52 = 3,737.87/x
  3. Step 3: Cross multiply
    8,186.32x = 12,269.52 × 3,737.87
  4. Step 4: Simplify right side
    8,186.32x = 45,861,870.72
  5. Step 5: Solve for x
    x = 45,861,870.72/8,186.32
  6. Step 6: Final answer
    x = 5,602.26

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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.