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Finding the Fourth Proportional to 8,262.74, 12,401.62 and 5,148.80

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Solution

The fourth proportional to 8,262.74, 12,401.62 and 5,148.80 is: 7,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.74 : 12,401.62 = 5,148.80 : x
  2. Step 2: Convert to fraction form
    8,262.74/12,401.62 = 5,148.80/x
  3. Step 3: Cross multiply
    8,262.74x = 12,401.62 × 5,148.80
  4. Step 4: Simplify right side
    8,262.74x = 63,853,461.06
  5. Step 5: Solve for x
    x = 63,853,461.06/8,262.74
  6. Step 6: Final answer
    x = 7,727.88

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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.