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Finding the Fourth Proportional to 8,269.65, 12,406.49 and 4,111.61

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Solution

The fourth proportional to 8,269.65, 12,406.49 and 4,111.61 is: 6,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.65 : 12,406.49 = 4,111.61 : x
  2. Step 2: Convert to fraction form
    8,269.65/12,406.49 = 4,111.61/x
  3. Step 3: Cross multiply
    8,269.65x = 12,406.49 × 4,111.61
  4. Step 4: Simplify right side
    8,269.65x = 51,010,565.76
  5. Step 5: Solve for x
    x = 51,010,565.76/8,269.65
  6. Step 6: Final answer
    x = 6,168.41

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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.