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Finding the Fourth Proportional to 8,256.64, 12,387.69 and 3,323.74

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Solution

The fourth proportional to 8,256.64, 12,387.69 and 3,323.74 is: 4,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.64 : 12,387.69 = 3,323.74 : x
  2. Step 2: Convert to fraction form
    8,256.64/12,387.69 = 3,323.74/x
  3. Step 3: Cross multiply
    8,256.64x = 12,387.69 × 3,323.74
  4. Step 4: Simplify right side
    8,256.64x = 41,173,429.79
  5. Step 5: Solve for x
    x = 41,173,429.79/8,256.64
  6. Step 6: Final answer
    x = 4,986.71

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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.