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Finding the Fourth Proportional to 7,470.42, 11,205.72 and 5,982.72

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Solution

The fourth proportional to 7,470.42, 11,205.72 and 5,982.72 is: 8,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.42 : 11,205.72 = 5,982.72 : x
  2. Step 2: Convert to fraction form
    7,470.42/11,205.72 = 5,982.72/x
  3. Step 3: Cross multiply
    7,470.42x = 11,205.72 × 5,982.72
  4. Step 4: Simplify right side
    7,470.42x = 67,040,685.16
  5. Step 5: Solve for x
    x = 67,040,685.16/7,470.42
  6. Step 6: Final answer
    x = 8,974.15

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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.