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Finding the Fourth Proportional to 8,382.42, 12,574.13 and 6,035.99

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Solution

The fourth proportional to 8,382.42, 12,574.13 and 6,035.99 is: 9,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.42 : 12,574.13 = 6,035.99 : x
  2. Step 2: Convert to fraction form
    8,382.42/12,574.13 = 6,035.99/x
  3. Step 3: Cross multiply
    8,382.42x = 12,574.13 × 6,035.99
  4. Step 4: Simplify right side
    8,382.42x = 75,897,229.89
  5. Step 5: Solve for x
    x = 75,897,229.89/8,382.42
  6. Step 6: Final answer
    x = 9,054.33

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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.