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Finding the Fourth Proportional to 8,286.35, 12,430.67 and 3,020.69

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Solution

The fourth proportional to 8,286.35, 12,430.67 and 3,020.69 is: 4,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.35 : 12,430.67 = 3,020.69 : x
  2. Step 2: Convert to fraction form
    8,286.35/12,430.67 = 3,020.69/x
  3. Step 3: Cross multiply
    8,286.35x = 12,430.67 × 3,020.69
  4. Step 4: Simplify right side
    8,286.35x = 37,549,216.54
  5. Step 5: Solve for x
    x = 37,549,216.54/8,286.35
  6. Step 6: Final answer
    x = 4,531.45

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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.