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Finding the Fourth Proportional to 8,306, 12,454.56 and 2,461.84

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Solution

The fourth proportional to 8,306, 12,454.56 and 2,461.84 is: 3,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 12,454.56 = 2,461.84 : x
  2. Step 2: Convert to fraction form
    8,306/12,454.56 = 2,461.84/x
  3. Step 3: Cross multiply
    8,306x = 12,454.56 × 2,461.84
  4. Step 4: Simplify right side
    8,306x = 30,661,133.99
  5. Step 5: Solve for x
    x = 30,661,133.99/8,306
  6. Step 6: Final answer
    x = 3,691.44

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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.