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Finding the Fourth Proportional to 8,304.76, 12,453.54 and 2,459.80

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Solution

The fourth proportional to 8,304.76, 12,453.54 and 2,459.80 is: 3,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.76 : 12,453.54 = 2,459.80 : x
  2. Step 2: Convert to fraction form
    8,304.76/12,453.54 = 2,459.80/x
  3. Step 3: Cross multiply
    8,304.76x = 12,453.54 × 2,459.80
  4. Step 4: Simplify right side
    8,304.76x = 30,633,217.69
  5. Step 5: Solve for x
    x = 30,633,217.69/8,304.76
  6. Step 6: Final answer
    x = 3,688.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.