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Finding the Fourth Proportional to 8,255.20, 12,386.80 and 3,871.84

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Solution

The fourth proportional to 8,255.20, 12,386.80 and 3,871.84 is: 5,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.20 : 12,386.80 = 3,871.84 : x
  2. Step 2: Convert to fraction form
    8,255.20/12,386.80 = 3,871.84/x
  3. Step 3: Cross multiply
    8,255.20x = 12,386.80 × 3,871.84
  4. Step 4: Simplify right side
    8,255.20x = 47,959,707.71
  5. Step 5: Solve for x
    x = 47,959,707.71/8,255.20
  6. Step 6: Final answer
    x = 5,809.64

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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.